{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T16:30:29Z","timestamp":1778344229683,"version":"3.51.4"},"reference-count":88,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2024,3,29]],"date-time":"2024-03-29T00:00:00Z","timestamp":1711670400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2024,3,29]],"date-time":"2024-03-29T00:00:00Z","timestamp":1711670400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["PTDC\/FIS-AST\/0054\/2021"],"award-info":[{"award-number":["PTDC\/FIS-AST\/0054\/2021"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Eur. Phys. J. C"],"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this work, we consider an extension of the symmetric teleparallel equivalent of General Relativity (STEGR), namely, <jats:inline-formula><jats:alternatives><jats:tex-math>$$f({\\mathbb {Q}})$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mrow>\n                    <mml:mi>f<\/mml:mi>\n                    <mml:mo>(<\/mml:mo>\n                    <mml:mi>Q<\/mml:mi>\n                    <mml:mo>)<\/mml:mo>\n                  <\/mml:mrow>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> gravity, by including a boundary term <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\mathbb {B}}_Q$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:msub>\n                    <mml:mi>B<\/mml:mi>\n                    <mml:mi>Q<\/mml:mi>\n                  <\/mml:msub>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, where <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\mathbb {Q}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>Q<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> is the non-metricity scalar. More specifically, we explore static and spherically symmetric black hole and regular black hole solutions in <jats:inline-formula><jats:alternatives><jats:tex-math>$$f({\\mathbb {Q}},{\\mathbb {B}}_Q)$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mrow>\n                    <mml:mi>f<\/mml:mi>\n                    <mml:mo>(<\/mml:mo>\n                    <mml:mi>Q<\/mml:mi>\n                    <mml:mo>,<\/mml:mo>\n                    <mml:msub>\n                      <mml:mi>B<\/mml:mi>\n                      <mml:mi>Q<\/mml:mi>\n                    <\/mml:msub>\n                    <mml:mo>)<\/mml:mo>\n                  <\/mml:mrow>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> gravity coupled to nonlinear electrodynamics (NLED). In particular, to obtain black hole solutions, and in order to ensure that our solutions preserve Lorentz symmetry, we assume the following relation <jats:inline-formula><jats:alternatives><jats:tex-math>$$f_Q = -f_B$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mrow>\n                    <mml:msub>\n                      <mml:mi>f<\/mml:mi>\n                      <mml:mi>Q<\/mml:mi>\n                    <\/mml:msub>\n                    <mml:mo>=<\/mml:mo>\n                    <mml:mo>-<\/mml:mo>\n                    <mml:msub>\n                      <mml:mi>f<\/mml:mi>\n                      <mml:mi>B<\/mml:mi>\n                    <\/mml:msub>\n                  <\/mml:mrow>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, where <jats:inline-formula><jats:alternatives><jats:tex-math>$$f_{Q}=\\partial f\/\\partial {\\mathbb {Q}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mrow>\n                    <mml:msub>\n                      <mml:mi>f<\/mml:mi>\n                      <mml:mi>Q<\/mml:mi>\n                    <\/mml:msub>\n                    <mml:mo>=<\/mml:mo>\n                    <mml:mi>\u2202<\/mml:mi>\n                    <mml:mi>f<\/mml:mi>\n                    <mml:mo>\/<\/mml:mo>\n                    <mml:mi>\u2202<\/mml:mi>\n                    <mml:mi>Q<\/mml:mi>\n                  <\/mml:mrow>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$f_{B}= \\partial f\/\\partial {\\mathbb {B}}_Q$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mrow>\n                    <mml:msub>\n                      <mml:mi>f<\/mml:mi>\n                      <mml:mi>B<\/mml:mi>\n                    <\/mml:msub>\n                    <mml:mo>=<\/mml:mo>\n                    <mml:mi>\u2202<\/mml:mi>\n                    <mml:mi>f<\/mml:mi>\n                    <mml:mo>\/<\/mml:mo>\n                    <mml:mi>\u2202<\/mml:mi>\n                    <mml:msub>\n                      <mml:mi>B<\/mml:mi>\n                      <mml:mi>Q<\/mml:mi>\n                    <\/mml:msub>\n                  <\/mml:mrow>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>. We develop three models of black holes, and as the starting point for each case we consider the non-metricity scalar or the boundary term in such a way to obtain the metric functions <jats:italic>A<\/jats:italic>(<jats:italic>r<\/jats:italic>). Additionally, we are able to express matter through analytical solutions for specific NLED Lagrangians <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\\mathcal {L}}}_{\\textrm{NLED}}(F)$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mrow>\n                    <mml:msub>\n                      <mml:mi>L<\/mml:mi>\n                      <mml:mtext>NLED<\/mml:mtext>\n                    <\/mml:msub>\n                    <mml:mrow>\n                      <mml:mo>(<\/mml:mo>\n                      <mml:mi>F<\/mml:mi>\n                      <mml:mo>)<\/mml:mo>\n                    <\/mml:mrow>\n                  <\/mml:mrow>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>. Furthermore, we also obtain generalized solutions of the Bardeen and Culetu types of regular black holes, by imposing specific metric functions.<\/jats:p>","DOI":"10.1140\/epjc\/s10052-024-12696-8","type":"journal-article","created":{"date-parts":[[2024,3,29]],"date-time":"2024-03-29T04:48:22Z","timestamp":1711687702000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Black holes and regular black holes in coincident $$f({\\mathbb {Q}},{\\mathbb {B}}_Q)$$ gravity coupled to nonlinear electrodynamics"],"prefix":"10.1140","volume":"84","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-0450-2672","authenticated-orcid":false,"given":"Jos\u00e9 Tarciso S. S.","family":"Junior","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9388-8373","authenticated-orcid":false,"given":"Francisco S. N.","family":"Lobo","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8586-0285","authenticated-orcid":false,"given":"Manuel E.","family":"Rodrigues","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,3,29]]},"reference":[{"key":"12696_CR1","doi-asserted-by":"crossref","unstructured":"A.G.\u00a0Riess et al. [Supernova Search Team], Observational evidence from supernovae for an accelerating universe and a cosmological constant. Astron. J. 116, 1009\u20131038 (1998). arXiv:astro-ph\/9805201","DOI":"10.1086\/300499"},{"key":"12696_CR2","doi-asserted-by":"crossref","unstructured":"S.\u00a0Perlmutter et al., [Supernova Cosmology Project], Measurements of $$\\Omega $$ and $$\\Lambda $$ from 42 high redshift supernovae. Astrophys. J. 517, 565\u2013586 (1999). arXiv:astro-ph\/9812133","DOI":"10.1086\/307221"},{"key":"12696_CR3","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/j.physrep.2011.09.003","volume":"509","author":"S Capozziello","year":"2011","unstructured":"S. Capozziello, M. De Laurentis, Extended theories of gravity. Phys. Rep. 509, 167\u2013321 (2011). arXiv:1108.6266 [gr-qc]","journal-title":"Phys. Rep."},{"key":"12696_CR4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2012.01.001","volume":"513","author":"T Clifton","year":"2012","unstructured":"T. Clifton, P.G. Ferreira, A. Padilla, C. Skordis, Modified gravity and cosmology. Phys. Rep. 513, 1\u2013189 (2012). arXiv:1106.2476 [astro-ph.CO]","journal-title":"Phys. Rep."},{"key":"12696_CR5","unstructured":"E.N.\u00a0Saridakis et al., [CANTATA], Modified Gravity and Cosmology: An Update by the CANTATA Network (Springer, 2021). ISBN 978-3-030-83714-3, 978-3-030-83717-4, 978-3-030-83715-0. arXiv:2105.12582 [gr-qc]"},{"key":"12696_CR6","doi-asserted-by":"crossref","first-page":"1753","DOI":"10.1142\/S021827180600942X","volume":"15","author":"EJ Copeland","year":"2006","unstructured":"E.J. Copeland, M. Sami, S. Tsujikawa, Dynamics of dark energy. Int. J. Mod. Phys. D 15, 1753\u20131936 (2006). arXiv:hep-th\/0603057","journal-title":"Int. J. Mod. Phys. D"},{"key":"12696_CR7","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1103\/RevModPhys.82.451","volume":"82","author":"TP Sotiriou","year":"2010","unstructured":"T.P. Sotiriou, V. Faraoni, f(R) theories of gravity. Rev. Mod. Phys. 82, 451\u2013497 (2010). arXiv:0805.1726 [gr-qc]","journal-title":"Rev. Mod. Phys."},{"key":"12696_CR8","volume-title":"Extensions of f(R) Gravity: Curvature-Matter Couplings and Hybrid Metric-Palatini Theory","author":"T Harko","year":"2018","unstructured":"T. Harko, F.S.N. Lobo, Extensions of f(R) Gravity: Curvature-Matter Couplings and Hybrid Metric-Palatini Theory (Cambridge University Press, Cambridge, 2018)"},{"key":"12696_CR9","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.84.024020","volume":"84","author":"T Harko","year":"2011","unstructured":"T. Harko, F.S.N. Lobo, S. Nojiri, S.D. Odintsov, $$f(R, T)$$ gravity. Phys. Rev. D 84, 024020 (2011). arXiv:1104.2669 [gr-qc]","journal-title":"Phys. Rev. D"},{"key":"12696_CR10","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.75.104016","volume":"75","author":"O Bertolami","year":"2007","unstructured":"O. Bertolami, C.G. Boehmer, T. Harko, F.S.N. Lobo, Extra force in f(R) modified theories of gravity. Phys. Rev. D 75, 104016 (2007). arXiv:0704.1733 [gr-qc]","journal-title":"Phys. Rev. D"},{"key":"12696_CR11","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1140\/epjc\/s10052-010-1467-3","volume":"70","author":"T Harko","year":"2010","unstructured":"T. Harko, F.S.N. Lobo, f(R,$$L_{m}$$) gravity. Eur. Phys. J. C 70, 373\u2013379 (2010). arXiv:1008.4193 [gr-qc]","journal-title":"Eur. Phys. J. C"},{"key":"12696_CR12","volume":"85","author":"T Harko","year":"2012","unstructured":"T. Harko, T.S. Koivisto, F.S.N. Lobo, G.J. Olmo, Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration. Phys. Rev. D 85, 084016 (2012). arXiv:1110.1049 [gr-qc]","journal-title":"Phys. Rev. D"},{"key":"12696_CR13","unstructured":"F.S.N.\u00a0Lobo, The dark side of gravity: modified theories of gravity. arXiv:0807.1640 [gr-qc]"},{"key":"12696_CR14","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/j.physrep.2011.04.001","volume":"505","author":"S Nojiri","year":"2011","unstructured":"S. Nojiri, S.D. Odintsov, Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models. Phys. Rep. 505, 59\u2013144 (2011). arXiv:1011.0544 [gr-qc]","journal-title":"Phys. Rep."},{"key":"12696_CR15","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1007\/s10509-012-1181-8","volume":"342","author":"K Bamba","year":"2012","unstructured":"K. Bamba, S. Capozziello, S. Nojiri, S.D. Odintsov, Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests. Astrophys. Space Sci. 342, 155\u2013228 (2012). arXiv:1205.3421 [gr-qc]","journal-title":"Astrophys. Space Sci."},{"key":"12696_CR16","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.physrep.2017.06.001","volume":"692","author":"S Nojiri","year":"2017","unstructured":"S. Nojiri, S.D. Odintsov, V.K. Oikonomou, Modified gravity theories on a nutshell: inflation, bounce and late-time evolution. Phys. Rep. 692, 1\u2013104 (2017). https:\/\/doi.org\/10.1016\/j.physrep.2017.06.001. arXiv:1705.11098 [gr-qc]","journal-title":"Phys. Rep."},{"key":"12696_CR17","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-007-5143-9","volume-title":"Teleparallel Gravity: An Introduction","author":"R Aldrovandi","year":"2013","unstructured":"R. Aldrovandi, J.G. Pereira, Teleparallel Gravity: An Introduction (Springer, Berlin, 2013)"},{"key":"12696_CR18","first-page":"113","volume":"37","author":"JM Nester","year":"1999","unstructured":"J.M. Nester, H.J. Yo, Symmetric teleparallel general relativity. Chin. J. Phys. 37, 113 (1999). arXiv:gr-qc\/9809049","journal-title":"Chin. J. Phys."},{"key":"12696_CR19","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0370-1573(94)00111-F","volume":"258","author":"FW Hehl","year":"1995","unstructured":"F.W. Hehl, J.D. McCrea, E.W. Mielke, Y. Ne\u2019eman, Metric affine gauge theory of gravity: field equations, Noether identities, world spinors, and breaking of dilation invariance. Phys. Rep. 258, 1\u2013171 (1995). arXiv:gr-qc\/9402012","journal-title":"Phys. Rep."},{"key":"12696_CR20","unstructured":"T.\u00a0Ortin, Gravity and Strings (Cambridge University Press, Cambridge, 2015) ISBN 978-0-521-76813-9, 978-0-521-76813-9, 978-1-316-23579-9"},{"issue":"10","key":"12696_CR21","volume":"79","author":"YF Cai","year":"2016","unstructured":"Y.F. Cai, S. Capozziello, M. De Laurentis, E.N. Saridakis, f(T) teleparallel gravity and cosmology. Rep. Prog. Phys. 79(10), 106901 (2016). arXiv:1511.07586 [gr-qc]","journal-title":"Rep. Prog. Phys."},{"issue":"4","key":"12696_CR22","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.88.043524","volume":"98","author":"J Beltr\u00e1n Jim\u00e9nez","year":"2018","unstructured":"J. Beltr\u00e1n Jim\u00e9nez, L. Heisenberg, T. Koivisto, Coincident general relativity. Phys. Rev. D 98(4), 044048 (2018). arXiv:1710.03116 [gr-qc]","journal-title":"Phys. Rev. D"},{"issue":"7","key":"12696_CR23","doi-asserted-by":"crossref","first-page":"173","DOI":"10.3390\/universe5070173","volume":"5","author":"J Beltr\u00e1n Jim\u00e9nez","year":"2019","unstructured":"J. Beltr\u00e1n Jim\u00e9nez, L. Heisenberg, T.S. Koivisto, The geometrical trinity of gravity. Universe 5(7), 173 (2019). arXiv:1903.06830 [hep-th]","journal-title":"Universe"},{"key":"12696_CR24","unstructured":"S.\u00a0Capozziello, V.\u00a0De Falco, C.\u00a0Ferrara, The role of the boundary term in $$f(Q,B)$$ symmetric teleparallel gravity. arXiv:2307.13280 [gr-qc]"},{"issue":"10","key":"12696_CR25","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.92.104042","volume":"92","author":"S Bahamonde","year":"2015","unstructured":"S. Bahamonde, C.G. B\u00f6hmer, M. Wright, Modified teleparallel theories of gravity. Phys. Rev. D 92(10), 104042 (2015). arXiv:1508.05120 [gr-qc]","journal-title":"Phys. Rev. D"},{"key":"12696_CR26","doi-asserted-by":"crossref","DOI":"10.1016\/j.dark.2020.100616","volume":"30","author":"BJ Barros","year":"2020","unstructured":"B.J. Barros, T. Barreiro, T. Koivisto, N.J. Nunes, Testing $$F(Q)$$ gravity with redshift space distortions. Phys. Dark Univ. 30, 100616 (2020). arXiv:2004.07867 [gr-qc]","journal-title":"Phys. Dark Univ."},{"issue":"4","key":"12696_CR27","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.103.044021","volume":"103","author":"N Frusciante","year":"2021","unstructured":"N. Frusciante, Signatures of $$f(Q)$$-gravity in cosmology. Phys. Rev. D 103(4), 044021 (2021). arXiv:2101.09242 [astro-ph.CO]","journal-title":"Phys. Rev. D"},{"issue":"6","key":"12696_CR28","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.103.063505","volume":"103","author":"I Ayuso","year":"2021","unstructured":"I. Ayuso, R. Lazkoz, V. Salzano, Observational constraints on cosmological solutions of $$f(Q)$$ theories. Phys. Rev. D 103(6), 063505 (2021). arXiv:2012.00046 [astro-ph.CO]","journal-title":"Phys. Rev. D"},{"key":"12696_CR29","doi-asserted-by":"crossref","DOI":"10.1016\/j.physletb.2021.136634","volume":"822","author":"FK Anagnostopoulos","year":"2021","unstructured":"F.K. Anagnostopoulos, S. Basilakos, E.N. Saridakis, First evidence that non-metricity f(Q) gravity could challenge $$\\Lambda $$CDM. Phys. Lett. B 822, 136634 (2021). arXiv:2104.15123 [gr-qc]","journal-title":"Phys. Lett. B"},{"issue":"6","key":"12696_CR30","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.104.064052","volume":"104","author":"L Atayde","year":"2021","unstructured":"L. Atayde, N. Frusciante, Can $$f(Q)$$ gravity challenge $$\\Lambda $$CDM? Phys. Rev. D 104(6), 064052 (2021). arXiv:2108.10832 [astro-ph.CO]","journal-title":"Phys. Rev. D"},{"issue":"8","key":"12696_CR31","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.98.084043","volume":"98","author":"T Harko","year":"2018","unstructured":"T. Harko, T.S. Koivisto, F.S.N. Lobo, G.J. Olmo, D. Rubiera-Garcia, Coupling matter in modified $$Q$$ gravity. Phys. Rev. D 98(8), 084043 (2018). arXiv:1806.10437 [gr-qc]","journal-title":"Phys. Rev. D"},{"issue":"8","key":"12696_CR32","doi-asserted-by":"crossref","first-page":"708","DOI":"10.1140\/epjc\/s10052-019-7207-4","volume":"79","author":"Y Xu","year":"2019","unstructured":"Y. Xu, G. Li, T. Harko, S.D. Liang, $$f(Q, T)$$ gravity. Eur. Phys. J. C 79(8), 708 (2019). arXiv:1908.04760 [gr-qc]","journal-title":"Eur. Phys. J. C"},{"key":"12696_CR33","doi-asserted-by":"crossref","DOI":"10.1016\/j.dark.2021.100820","volume":"32","author":"R Solanki","year":"2021","unstructured":"R. Solanki, S.K.J. Pacif, A. Parida, P.K. Sahoo, Cosmic acceleration with bulk viscosity in modified f(Q) gravity. Phys. Dark Univ. 32, 100820 (2021). arXiv:2105.00876 [gr-qc]","journal-title":"Phys. Dark Univ."},{"issue":"11","key":"12696_CR34","doi-asserted-by":"crossref","first-page":"1031","DOI":"10.1140\/epjc\/s10052-021-09854-7","volume":"81","author":"A Banerjee","year":"2021","unstructured":"A. Banerjee, A. Pradhan, T. Tangphati, F. Rahaman, Wormhole geometries in $$f(Q)$$ gravity and the energy conditions. Eur. Phys. J. C 81(11), 1031 (2021). arXiv:2109.15105 [gr-qc]","journal-title":"Eur. Phys. J. C"},{"key":"12696_CR35","doi-asserted-by":"crossref","DOI":"10.1016\/j.physletb.2021.136612","volume":"821","author":"G Mustafa","year":"2021","unstructured":"G. Mustafa, Z. Hassan, P.H.R.S. Moraes, P.K. Sahoo, Wormhole solutions in symmetric teleparallel gravity. Phys. Lett. B 821, 136612 (2021). arXiv:2108.01446 [gr-qc]","journal-title":"Phys. Lett. B"},{"issue":"10","key":"12696_CR36","doi-asserted-by":"crossref","first-page":"865","DOI":"10.1140\/epjc\/s10052-022-10823-x","volume":"82","author":"S Capozziello","year":"2022","unstructured":"S. Capozziello, V. De Falco, C. Ferrara, Comparing equivalent gravities: common features and differences. Eur. Phys. J. C 82(10), 865 (2022). arXiv:2208.03011 [gr-qc]","journal-title":"Eur. Phys. J. C"},{"key":"12696_CR37","volume":"43","author":"A Paliathanasis","year":"2024","unstructured":"A. Paliathanasis, N. Dimakis, T. Christodoulakis, Minisuperspace description of f(Q)-cosmology. Phys. Dark Univ. 43, 101410 (2024). arXiv:2308.15207 [gr-qc]","journal-title":"Phys. Dark Univ."},{"issue":"9","key":"12696_CR38","doi-asserted-by":"crossref","first-page":"794","DOI":"10.1140\/epjc\/s10052-023-11964-3","volume":"83","author":"N Dimakis","year":"2023","unstructured":"N. Dimakis, M. Roumeliotis, A. Paliathanasis, T. Christodoulakis, Anisotropic solutions in symmetric teleparallel $$f\\left( Q\\right) $$-theory: Kantowski-Sachs and Bianchi III LRS cosmologies. Eur. Phys. J. C 83(9), 794 (2023). arXiv:2304.04419 [gr-qc]","journal-title":"Eur. Phys. J. C"},{"key":"12696_CR39","volume":"43","author":"A Paliathanasis","year":"2024","unstructured":"A. Paliathanasis, Symmetric teleparallel cosmology with boundary corrections. Phys. Dark Univ. 43, 101388 (2024). arXiv:2309.14669 [gr-qc]","journal-title":"Phys. Dark Univ."},{"key":"12696_CR40","unstructured":"A.\u00a0Pradhan, A.\u00a0Dixit, M.\u00a0Zeyauddin, S.\u00a0Krishnannair, A flat FLRW dark energy model in f(Q,C)-gravity theory with observational constraints. arXiv:2310.02267 [gr-qc]"},{"key":"12696_CR41","volume":"46","author":"DC Maurya","year":"2024","unstructured":"D.C. Maurya, Quintessence behaviour dark energy models in f(Q, B)-gravity theory with observational constraints. Astron. Comput. 46, 100798 (2024)","journal-title":"Astron. Comput."},{"key":"12696_CR42","unstructured":"J.M. Bardeen, Non-singular general relativistic gravitational collapse, in Proceedings of the International Conference GR5, Tbilisi, U.S.S.R. (1968)"},{"key":"12696_CR43","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/S0370-2693(00)01125-4","volume":"493","author":"E Ayon-Beato","year":"2000","unstructured":"E. Ayon-Beato, A. Garcia, The Bardeen model as a nonlinear magnetic monopole. Phys. Lett. B 493, 149\u2013152 (2000). arXiv:gr-qc\/0009077","journal-title":"Phys. Lett. B"},{"issue":"06","key":"12696_CR44","doi-asserted-by":"crossref","first-page":"1841005","DOI":"10.1142\/S0218271818410055","volume":"27","author":"KA Bronnikov","year":"2018","unstructured":"K.A. Bronnikov, Nonlinear electrodynamics, regular black holes and wormholes. Int. J. Mod. Phys. D 27(06), 1841005 (2018). arXiv:1711.00087 [gr-qc]","journal-title":"Int. J. Mod. Phys. D"},{"key":"12696_CR45","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.63.044005","volume":"63","author":"KA Bronnikov","year":"2001","unstructured":"K.A. Bronnikov, Regular magnetic black holes and monopoles from nonlinear electrodynamics. Phys. Rev. D 63, 044005 (2001). arXiv:gr-qc\/0006014","journal-title":"Phys. Rev. D"},{"key":"12696_CR46","doi-asserted-by":"crossref","first-page":"037","DOI":"10.1088\/1475-7516\/2015\/06\/037","volume":"06","author":"ELB Junior","year":"2015","unstructured":"E.L.B. Junior, M.E. Rodrigues, M.J.S. Houndjo, Born\u2013Infeld and charged black holes with non-linear source in $$f(T)$$ gravity. JCAP 06, 037 (2015). arXiv:1503.07427 [gr-qc]","journal-title":"JCAP"},{"key":"12696_CR47","doi-asserted-by":"crossref","first-page":"060","DOI":"10.1088\/1475-7516\/2015\/10\/060","volume":"10","author":"ELB Junior","year":"2015","unstructured":"E.L.B. Junior, M.E. Rodrigues, M.J.S. Houndjo, Regular black holes in $$f(T)$$ Gravity through a nonlinear electrodynamics source. JCAP 10, 060 (2015). arXiv:1503.07857 [gr-qc]","journal-title":"JCAP"},{"issue":"13","key":"12696_CR48","volume":"36","author":"GGL Nashed","year":"2019","unstructured":"G.G.L. Nashed, E.N. Saridakis, Rotating AdS black holes in Maxwell-$$f(T)$$ gravity. Class. Quantum Gravity 36(13), 135005 (2019). arXiv:1811.03658 [gr-qc]","journal-title":"Class. Quantum Gravity"},{"issue":"12","key":"12696_CR49","volume":"102","author":"GGL Nashed","year":"2020","unstructured":"G.G.L. Nashed, E.N. Saridakis, New rotating black holes in nonlinear Maxwell $$f({{mathcal R }})$$ gravity. Phys. Rev. D 102(12), 124072 (2020). arXiv:2010.10422 [gr-qc]","journal-title":"Phys. Rev. D"},{"issue":"05","key":"12696_CR50","doi-asserted-by":"crossref","first-page":"017","DOI":"10.1088\/1475-7516\/2022\/05\/017","volume":"05","author":"GGL Nashed","year":"2022","unstructured":"G.G.L. Nashed, E.N. Saridakis, Stability of motion and thermodynamics in charged black holes in f(T) gravity. JCAP 05(05), 017 (2022). arXiv:2111.06359 [gr-qc]","journal-title":"JCAP"},{"issue":"10","key":"12696_CR51","volume":"101","author":"J Beltr\u00e1n Jim\u00e9nez","year":"2020","unstructured":"J. Beltr\u00e1n Jim\u00e9nez, L. Heisenberg, T.S. Koivisto, S. Pekar, Cosmology in $$f(Q)$$ geometry. Phys. Rev. D 101(10), 103507 (2020). arXiv:1906.10027 [gr-qc]","journal-title":"Phys. Rev. D"},{"issue":"6","key":"12696_CR52","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1140\/epjc\/s10052-023-11660-2","volume":"83","author":"JTSS Junior","year":"2023","unstructured":"J.T.S.S. Junior, M.E. Rodrigues, Coincident $$f({\\mathbb{Q} })$$ gravity: black holes, regular black holes, and black bounces. Eur. Phys. J. C 83(6), 475 (2023). arXiv:2306.04661 [gr-qc]","journal-title":"Eur. Phys. J. C"},{"key":"12696_CR53","unstructured":"A.\u00a0De, T.H.\u00a0Loo, E.N. Saridakis, Non-metricity with bounday terms: $$f(Q,C)$$ gravity and cosmology. arXiv:2308.00652 [gr-qc]"},{"issue":"2","key":"12696_CR54","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.105.024042","volume":"105","author":"F D\u2019Ambrosio","year":"2022","unstructured":"F. D\u2019Ambrosio, S.D.B. Fell, L. Heisenberg, S. Kuhn, Black holes in f(Q) gravity. Phys. Rev. D 105(2), 024042 (2022). arXiv:2109.03174 [gr-qc]","journal-title":"Phys. Rev. D"},{"issue":"4","key":"12696_CR55","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1140\/epjc\/s10052-022-10266-4","volume":"82","author":"D Zhao","year":"2022","unstructured":"D. Zhao, Covariant formulation of f(Q) theory. Eur. Phys. J. C 82(4), 303 (2022). arXiv:2104.02483 [gr-qc]","journal-title":"Eur. Phys. J. C"},{"key":"12696_CR56","doi-asserted-by":"crossref","unstructured":"R.H.\u00a0Lin, XH.\u00a0Zhai, Spherically symmetric configuration in $$f(Q)$$ gravity. Phys. Rev. D 103(12), 124001 (2021) (Erratum: Phys. Rev. D 106 (2022) no.6, 069902). arXiv:2105.01484 [gr-qc]","DOI":"10.1103\/PhysRevD.106.069902"},{"issue":"2","key":"12696_CR57","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1134\/S0202289314020108","volume":"20","author":"ME Rodrigues","year":"2014","unstructured":"M.E. Rodrigues, M.H. Daouda, M.J.S. Houndjo, R. Myrzakulov, M. Sharif, Inhomogeneous universe in f(T) theory. Grav. Cosmol. 20(2), 80\u201389 (2014). arXiv:1205.0565 [gr-qc]","journal-title":"Grav. Cosmol."},{"issue":"8","key":"12696_CR58","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.102.084038","volume":"102","author":"ME Rodrigues","year":"2020","unstructured":"M.E. Rodrigues, M.V. de Sousa Silva, A.S. de Siqueira, Regular multihorizon black holes in General Relativity. Phys. Rev. D 102(8), 084038 (2020). https:\/\/doi.org\/10.1103\/PhysRevD.102.084038. arXiv:2010.09490 [gr-qc]","journal-title":"Phys. Rev. D"},{"key":"12696_CR59","unstructured":"H.\u00a0Culetu, On a regular modified Schwarzschild spacetime. arXiv:1305.5964 [gr-qc]"},{"issue":"8","key":"12696_CR60","doi-asserted-by":"crossref","first-page":"2855","DOI":"10.1007\/s10773-015-2521-6","volume":"54","author":"H Culetu","year":"2015","unstructured":"H. Culetu, On a regular charged black hole with a nonlinear electric source. Int. J. Theor. Phys. 54(8), 2855\u20132863 (2015). arXiv:1408.3334 [gr-qc]","journal-title":"Int. J. Theor. Phys."},{"key":"12696_CR61","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.78.124007","volume":"78","author":"L Hollenstein","year":"2008","unstructured":"L. Hollenstein, F.S.N. Lobo, Exact solutions of f(R) gravity coupled to nonlinear electrodynamics. Phys. Rev. D 78, 124007 (2008). arXiv:0807.2325 [gr-qc]","journal-title":"Phys. Rev. D"},{"issue":"2","key":"12696_CR62","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.94.024062","volume":"94","author":"ME Rodrigues","year":"2016","unstructured":"M.E. Rodrigues, E.L.B. Junior, G.T. Marques, V.T. Zanchin, Regular black holes in $$f(R)$$ gravity coupled to nonlinear electrodynamics. Phys. Rev. D 94(2), 024062 (2016). arXiv:1511.00569 [gr-qc]","journal-title":"Phys. Rev. D"},{"issue":"8","key":"12696_CR63","doi-asserted-by":"crossref","first-page":"638","DOI":"10.1140\/epjc\/s10052-018-6122-4","volume":"78","author":"MV de Sousa Silva","year":"2018","unstructured":"M.V. de Sousa Silva, M.E. Rodrigues, Regular black holes in $$f(G)$$ gravity. Eur. Phys. J. C 78(8), 638 (2018). arXiv:1808.05861 [gr-qc]","journal-title":"Eur. Phys. J. C"},{"issue":"11","key":"12696_CR64","doi-asserted-by":"crossref","first-page":"911","DOI":"10.1140\/epjc\/s10052-019-7424-x","volume":"79","author":"S Capozziello","year":"2019","unstructured":"S. Capozziello, G.G.L. Nashed, Rotating and non-rotating AdS black holes in $$f(\\cal{T} )$$ gravity non-linear electrodynamics. Eur. Phys. J. C 79(11), 911 (2019). arXiv:1908.07381 [gr-qc]","journal-title":"Eur. Phys. J. C"},{"key":"12696_CR65","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/j.physletb.2007.03.005","volume":"648","author":"M Akbar","year":"2007","unstructured":"M. Akbar, R.G. Cai, Thermodynamic behavior of field equations for f(R) gravity. Phys. Lett. B 648, 243\u2013248 (2007). arXiv:gr-qc\/0612089","journal-title":"Phys. Lett. B"},{"key":"12696_CR66","doi-asserted-by":"crossref","first-page":"014","DOI":"10.1088\/1475-7516\/2010\/06\/014","volume":"06","author":"K Bamba","year":"2010","unstructured":"K. Bamba, C.Q. Geng, Thermodynamics in $$f(R)$$ gravity in the Palatini formalism. JCAP 06, 014 (2010). arXiv:1005.5234 [gr-qc]","journal-title":"JCAP"},{"issue":"8","key":"12696_CR67","doi-asserted-by":"crossref","first-page":"682","DOI":"10.1140\/epjc\/s10052-018-6167-4","volume":"78","author":"Y Zheng","year":"2018","unstructured":"Y. Zheng, R.J. Yang, Horizon thermodynamics in $$f(R)$$ theory. Eur. Phys. J. C 78(8), 682 (2018). arXiv:1806.09858 [gr-qc]","journal-title":"Eur. Phys. J. C"},{"key":"12696_CR68","doi-asserted-by":"crossref","first-page":"033","DOI":"10.1088\/1475-7516\/2011\/11\/033","volume":"11","author":"RX Miao","year":"2011","unstructured":"R.X. Miao, M. Li, Y.G. Miao, Violation of the first law of black hole thermodynamics in $$f(T)$$ gravity. JCAP 11, 033 (2011). arXiv:1107.0515 [hep-th]","journal-title":"JCAP"},{"key":"12696_CR69","doi-asserted-by":"crossref","unstructured":"K. Bamba, C.Q. Geng, Thermodynamics of cosmological horizons in $$f(T)$$ gravity. JCAP 11, 008 (2011). arXiv:1109.1694 [gr-qc]","DOI":"10.1088\/1475-7516\/2011\/11\/008"},{"key":"12696_CR70","doi-asserted-by":"crossref","first-page":"007","DOI":"10.1088\/1475-7516\/2012\/04\/007","volume":"04","author":"K Karami","year":"2012","unstructured":"K. Karami, A. Abdolmaleki, Generalized second law of thermodynamics in f(T)-gravity. JCAP 04, 007 (2012). arXiv:1201.2511 [gr-qc]","journal-title":"JCAP"},{"key":"12696_CR71","volume":"85","author":"K Bamba","year":"2012","unstructured":"K. Bamba, R. Myrzakulov, S. Nojiri, S.D. Odintsov, Reconstruction of $$f(T)$$ gravity: rip cosmology, finite-time future singularities and thermodynamics. Phys. Rev. D 85, 104036 (2012). arXiv:1202.4057 [gr-qc]","journal-title":"Phys. Rev. D"},{"key":"12696_CR72","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1007\/s10509-012-1312-2","volume":"344","author":"K Bamba","year":"2013","unstructured":"K. Bamba, M. Jamil, D. Momeni, R. Myrzakulov, Generalized second law of thermodynamics in $$f(T)$$ gravity with entropy corrections. Astrophys. Space Sci. 344, 259\u2013267 (2013). arXiv:1202.6114 [physics.gen-ph]","journal-title":"Astrophys. Space Sci."},{"key":"12696_CR73","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1016\/j.dark.2017.12.005","volume":"19","author":"S Bahamonde","year":"2018","unstructured":"S. Bahamonde, M. Zubair, G. Abbas, Thermodynamics and cosmological reconstruction in $$f(T, B)$$ gravity. Phys. Dark Univ. 19, 78\u201390 (2018). arXiv:1609.08373 [gr-qc]","journal-title":"Phys. Dark Univ."},{"key":"12696_CR74","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.77.024024","volume":"77","author":"S Carloni","year":"2008","unstructured":"S. Carloni, P.K.S. Dunsby, A. Troisi, The evolution of density perturbations in f(R) gravity. Phys. Rev. D 77, 024024 (2008). arXiv:0707.0106 [gr-qc]","journal-title":"Phys. Rev. D"},{"key":"12696_CR75","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.77.123515","volume":"77","author":"A de la Cruz-Dombriz","year":"2008","unstructured":"A. de la Cruz-Dombriz, A. Dobado, A.L. Maroto, On the evolution of density perturbations in f(R) theories of gravity. Phys. Rev. D 77, 123515 (2008). arXiv:0802.2999 [astro-ph]","journal-title":"Phys. Rev. D"},{"key":"12696_CR76","doi-asserted-by":"crossref","unstructured":"A. Hojjati, L. Pogosian, A. Silvestri, S. Talbot, Practical solutions for perturbed f(R) gravity. Phys. Rev. D 86, 123503 (2012). arXiv:1210.6880 [astro-ph.CO]","DOI":"10.1103\/PhysRevD.86.123503"},{"key":"12696_CR77","doi-asserted-by":"crossref","unstructured":"F.G.\u00a0Alvarenga, A.\u00a0de la Cruz-Dombriz, M.J.S.\u00a0Houndjo, M.E.\u00a0Rodrigues, D.\u00a0S\u00e1ez-G\u00f3mez, Dynamics of scalar perturbations in $$f(R,T)$$ gravity. Phys. Rev. D 87(10), 103526 (2013) (Erratum: Phys. Rev. D 87 (2013) no.12, 129905). arXiv:1302.1866 [gr-qc]","DOI":"10.1103\/PhysRevD.87.129905"},{"key":"12696_CR78","doi-asserted-by":"crossref","unstructured":"M. Sharif, M. Zubair, Cosmological reconstruction and stability in $$f(R, T)$$ gravity. Gen. Relativ. Gravit. 46, 1723 (2014)","DOI":"10.1007\/s10714-014-1723-1"},{"key":"12696_CR79","volume":"83","author":"SH Chen","year":"2011","unstructured":"S.H. Chen, J.B. Dent, S. Dutta, E.N. Saridakis, Cosmological perturbations in f(T) gravity. Phys. Rev. D 83, 023508 (2011). arXiv:1008.1250 [astro-ph.CO]","journal-title":"Phys. Rev. D"},{"key":"12696_CR80","doi-asserted-by":"crossref","first-page":"029","DOI":"10.1088\/1475-7516\/2013\/06\/029","volume":"06","author":"K Izumi","year":"2013","unstructured":"K. Izumi, Y.C. Ong, Cosmological perturbation in f(T) gravity revisited. JCAP 06, 029 (2013). arXiv:1212.5774 [gr-qc]","journal-title":"JCAP"},{"issue":"4","key":"12696_CR81","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.107.044022","volume":"107","author":"W Khyllep","year":"2023","unstructured":"W. Khyllep, J. Dutta, E.N. Saridakis, K. Yesmakhanova, Cosmology in f(Q) gravity: a unified dynamical systems analysis of the background and perturbations. Phys. Rev. D 107(4), 044022 (2023). arXiv:2207.02610 [gr-qc]","journal-title":"Phys. Rev. D"},{"key":"12696_CR82","doi-asserted-by":"crossref","unstructured":"M.L.\u00a0Ruggiero [n], Gravitational Lensing and f(R) theories in the Palatini approach. Gen. Relativ. Gravit. 41, 1497\u20131509 (2009). arXiv:0712.3218 [astro-ph]","DOI":"10.1007\/s10714-008-0717-2"},{"key":"12696_CR83","doi-asserted-by":"crossref","first-page":"1449","DOI":"10.1111\/j.1365-2966.2008.14318.x","volume":"394","author":"XJ Yang","year":"2009","unstructured":"X.J. Yang, D.M. Chen, $$f(R)$$ gravity theories in the Palatini Formalism constrained from strong lensing. Mon. Not. R. Astron. Soc. 394, 1449 (2009). arXiv:0812.0660 [astro-ph]","journal-title":"Mon. Not. R. Astron. Soc."},{"key":"12696_CR84","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevD.83.024030","volume":"83","author":"AM Nzioki","year":"2011","unstructured":"A.M. Nzioki, P.K.S. Dunsby, R. Goswami, S. Carloni, A geometrical approach to strong gravitational lensing in f(R) gravity. Phys. Rev. D 83, 024030 (2011). arXiv:1002.2056 [gr-qc]","journal-title":"Phys. Rev. D"},{"key":"12696_CR85","doi-asserted-by":"crossref","first-page":"1834","DOI":"10.1140\/epjc\/s10052-011-1834-8","volume":"71","author":"M Lubini","year":"2011","unstructured":"M. Lubini, C. Tortora, J. Naf, P. Jetzer, S. Capozziello, Probing the dark matter issue in f(R)-gravity via gravitational lensing. Eur. Phys. J. C 71, 1834 (2011). arXiv:1104.2851 [gr-qc]","journal-title":"Eur. Phys. J. C"},{"issue":"02","key":"12696_CR86","doi-asserted-by":"crossref","first-page":"1650020","DOI":"10.1142\/S0218271816500206","volume":"25","author":"A Alhamzawi","year":"2015","unstructured":"A. Alhamzawi, R. Alhamzawi, Gravitational lensing by f(R, T) gravity. Int. J. Mod. Phys. D 25(02), 1650020 (2015)","journal-title":"Int. J. Mod. Phys. D"},{"issue":"5","key":"12696_CR87","first-page":"988","volume":"57","author":"J Wu","year":"2014","unstructured":"J. Wu, Z. Li, P. Wu, e H. Yu, Restringe a gravidade $$f(T)$$ com os dados de lentes gravitacionais fortes. Ci\u00eancia. F\u00edsica da China. Mec\u00e2nico. Astron. 57(5), 988 (2014)","journal-title":"Ci\u00eancia. F\u00edsica da China. Mec\u00e2nico. Astron."},{"issue":"10","key":"12696_CR88","doi-asserted-by":"crossref","first-page":"963","DOI":"10.1140\/epjc\/s10052-022-10922-9","volume":"82","author":"S Bahamonde","year":"2022","unstructured":"S. Bahamonde, L. J\u00e4rv, Coincident gauge for static spherical field configurations in symmetric teleparallel gravity. Eur. Phys. J. C 82(10), 963 (2022). arXiv:2208.01872 [gr-qc]","journal-title":"Eur. Phys. J. C"}],"container-title":["The European Physical Journal C"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1140\/epjc\/s10052-024-12696-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1140\/epjc\/s10052-024-12696-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1140\/epjc\/s10052-024-12696-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,7]],"date-time":"2024-05-07T22:18:20Z","timestamp":1715120300000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1140\/epjc\/s10052-024-12696-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,3,29]]},"references-count":88,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2024,3]]}},"alternative-id":["12696"],"URL":"https:\/\/doi.org\/10.1140\/epjc\/s10052-024-12696-8","relation":{},"ISSN":["1434-6052"],"issn-type":[{"value":"1434-6052","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,3,29]]},"assertion":[{"value":"4 February 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 March 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 March 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"The manuscript has no associated code\/software. [Author\u2019s comment: The code\/software generated during and\/or analysed during the current study is available from the corresponding author on reasonable request.]","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Code Availability Statement"}}],"article-number":"332"}}