{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T07:20:02Z","timestamp":1773818402473,"version":"3.50.1"},"reference-count":49,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,1,15]],"date-time":"2019-01-15T00:00:00Z","timestamp":1547510400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we study the reconstruction paradigm for Tsallis holographic dark energy model using generalized Tsallis entropy conjecture with Hubble horizon in the framework of     f ( G , T )     gravity (G and T represent the Gauss-Bonnet invariant and trace of the energy-momentum tensor). We take the flat Friedmann-Robertson-Walker universe model with dust fluid configuration. The cosmological evolution of reconstructed models is examined through cosmic diagnostic parameters and phase planes. The equation of the state parameter indicates phantom phase while the deceleration parameter demonstrates accelerated cosmic epoch for both conserved as well as non-conserved energy-momentum tensor. The squared speed of the sound parameter shows instability of the conserved model while stable non-conserved model for the entire cosmic evolutionary paradigm. The trajectories of the      \u03c9  G T   \u2212  \u03c9  G T  \u2032      plane correspond to freezing as well as thawing regimes for the conserved and non-conserved scenario, respectively. The     r \u2212 s     plane gives phantom and quintessence dark energy epochs for conserved while Chaplygin gas model regime for the non-conserved case. We conclude that, upon the appropriate choice of the free parameters involved, the derived models demonstrate a self-consistent phantom universe behavior.<\/jats:p>","DOI":"10.3390\/sym11010092","type":"journal-article","created":{"date-parts":[[2019,1,16]],"date-time":"2019-01-16T03:09:13Z","timestamp":1547608153000},"page":"92","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":53,"title":["Tsallis Holographic Dark Energy in f(G,T) Gravity"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6845-3506","authenticated-orcid":false,"given":"Muhammad","family":"Sharif","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore-54590, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Saadia","family":"Saba","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore-54590, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,1,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"216","DOI":"10.3390\/galaxies1030216","article-title":"Cosmographic constraints and cosmic fluids","volume":"1","author":"Capozziello","year":"2013","journal-title":"Galaxies"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"6377","DOI":"10.1063\/1.531249","article-title":"The world as a hologram","volume":"36","author":"Susskind","year":"1995","journal-title":"J. Math. Phys."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"4971","DOI":"10.1103\/PhysRevLett.82.4971","article-title":"Effective field theory, black holes, and the cosmological constant","volume":"82","author":"Cohen","year":"1999","journal-title":"Phys. Rev. Lett."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physletb.2004.10.014","article-title":"A model of holographic dark energy","volume":"603","author":"Li","year":"2004","journal-title":"Phys. Lett. B"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1007\/JHEP03(2011)086","article-title":"Reconstructing f(R) modified gravity from ordinary and entropy-corrected versions of the holographic and new agegraphic dark energy models","volume":"3","author":"Karami","year":"2011","journal-title":"J. High Energy Phys."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1250024","DOI":"10.1142\/S0218271812500241","article-title":"Reconstructing f(R,T) gravity from holographic dark energy","volume":"21","author":"Houndjo","year":"2012","journal-title":"Int. J. Mod. Phys. D"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1890","DOI":"10.1140\/epjc\/s10052-012-1890-8","article-title":"Static anisotropic solutions in f(T) theory","volume":"72","author":"Daouda","year":"2012","journal-title":"Eur. Phys. J. C"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1140\/epjp\/i2013-13156-3","article-title":"Holographic reconstruction of f(G) gravity for scale factors pertaining to emergent, logamediate and intermediate scenarios","volume":"128","author":"Jawad","year":"2013","journal-title":"Eur. Phys. J. Plus"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"064001","DOI":"10.7566\/JPSJ.82.064001","article-title":"Cosmology of holographic and new agegraphic f(R,T) models","volume":"82","author":"Sharif","year":"2013","journal-title":"J. Phys. Soc. Jpn."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1007\/s10509-014-2053-1","article-title":"Anisotropic cosmological models in f(R,T) gravity according to holographic and new agegraphic dark energy","volume":"353","author":"Fayaz","year":"2014","journal-title":"Astrophys. Space Sci."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1610","DOI":"10.1103\/PhysRevLett.85.1610","article-title":"Probable values of the cosmological constant in a holographic theory","volume":"85","author":"Horava","year":"2000","journal-title":"Phys. Rev. Lett."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"081301","DOI":"10.1103\/PhysRevLett.89.081301","article-title":"Holography stabilizes the vacuum energy","volume":"89","author":"Thomas","year":"2002","journal-title":"Phys. Rev. Lett."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/j.physletb.2004.05.020","article-title":"Entropy bounds and dark energy","volume":"594","author":"Hsu","year":"2004","journal-title":"Phys. Lett. B"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"012","DOI":"10.1088\/1475-7516\/2007\/01\/012","article-title":"Non-saturated holographic dark energy","volume":"1","author":"Guberina","year":"2007","journal-title":"J. Cosmol. Astropart. Phys."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"096901","DOI":"10.1088\/0034-4885\/79\/9\/096901","article-title":"Dark matter and dark energy interactions: Theoretical challenges, cosmological implications and observational signatures","volume":"79","author":"Wang","year":"2016","journal-title":"Rep. Prog. Phys."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2017.06.003","article-title":"Holographic dark energy","volume":"699","author":"Wang","year":"2017","journal-title":"Phys. Rep."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"4176","DOI":"10.1007\/s10773-016-3043-6","article-title":"Implications, consequences and interpretations of generalized entropy in the cosmological setups","volume":"55","author":"Moradpour","year":"2016","journal-title":"Int. J. Theor. Phys."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1750106","DOI":"10.1142\/S0218271817501061","article-title":"Thermodynamic metric of deformed Schwarzschild black holes","volume":"26","author":"Wen","year":"2017","journal-title":"Int. J. Mod. Phys. D"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"123504","DOI":"10.1103\/PhysRevD.96.123504","article-title":"Accelerated cosmos in a nonextensive setup","volume":"96","author":"Moradpour","year":"2017","journal-title":"Phys. Rev. D"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/j.physletb.2018.02.052","article-title":"Generalized entropy formalism and a new holographic dark energy model","volume":"780","author":"Jahmori","year":"2018","journal-title":"Phys. Lett. B"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"829","DOI":"10.1140\/epjc\/s10052-018-6309-8","article-title":"Thermodynamic approach to holographic dark energy and the R\u00e9nyi entropy","volume":"78","author":"Moradpour","year":"2018","journal-title":"Eur. Phys. J. C"},{"key":"ref_22","first-page":"061187","article-title":"Zeroth law compatibility of nonadditive thermodynamics","volume":"83","year":"2011","journal-title":"Phys. Rev. E"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1016\/j.physletb.2017.10.043","article-title":"Non-extensive statistical mechanics and black hole entropy from quantum geometry","volume":"775","author":"Majhi","year":"2017","journal-title":"Phys. Lett. B"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1007\/BF01016429","article-title":"Possible generalization of Boltzmann-Gibbs statistics","volume":"52","author":"Tsallis","year":"1988","journal-title":"J. Stat. Phys."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2487","DOI":"10.1140\/epjc\/s10052-013-2487-6","article-title":"Black hole thermodynamical entropy","volume":"73","author":"Tsallis","year":"2013","journal-title":"Eur. Phys. J. C"},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Czinner, V.G., and Iguchi, H. (2017). A zeroth law compatible model to Kerr black hole thermodynamics. Universe, 3.","DOI":"10.3390\/universe3010014"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1140\/epjc\/s10052-017-4800-2","article-title":"Cosmological model from the holographic equipartition law with a modified R\u00e9nyi entropy","volume":"77","author":"Komatsu","year":"2017","journal-title":"Eur. Phys. J. C"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1016\/j.physletb.2018.04.001","article-title":"Tsallis holographic dark energy","volume":"781","author":"Tavayef","year":"2018","journal-title":"Phys. Lett. B"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"024020","DOI":"10.1103\/PhysRevD.84.024020","article-title":"f(R,T) gravity","volume":"84","author":"Harko","year":"2011","journal-title":"Phys. Rev. D"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"640","DOI":"10.1140\/epjc\/s10052-016-4502-1","article-title":"Energy Conditions in f(\ud835\udca2,T) Gravity","volume":"76","author":"Sharif","year":"2016","journal-title":"Eur. Phys. J. C"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.dark.2017.05.001","article-title":"Stability analysis of some reconstructed cosmological models in f(\ud835\udca2,T) gravity","volume":"17","author":"Sharif","year":"2017","journal-title":"Phys. Dark Universe"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1850044","DOI":"10.1142\/S021827181850044X","article-title":"Role of f(G,T) gravity on the evolution of relativistic stars","volume":"27","author":"Bhatti","year":"2017","journal-title":"Int. J. Mod. Phys. D"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1140\/epjc\/s10052-017-4625-z","article-title":"Noether symmetry approach in f(\ud835\udca2,T) gravity","volume":"77","author":"Shamir","year":"2017","journal-title":"Eur. Phys. J. C"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"028","DOI":"10.1088\/1475-7516\/2010\/07\/028","article-title":"New agegraphic dark energy in Horava-Lifshitz cosmology","volume":"1007","author":"Jamil","year":"2010","journal-title":"J. Cosmol. Astropart. Phys."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1007\/s10509-015-2285-8","article-title":"Cosmological analysis of F(R\u02dc) models via pilgrim dark energy","volume":"357","author":"Jawad","year":"2015","journal-title":"Astrophys. Space Sci."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1007\/s10509-015-2572-4","article-title":"Cosmological evolution of generalized ghost pilgrim dark energy in f(T) gravity","volume":"360","author":"Sharif","year":"2015","journal-title":"Astrophys. Space Sci."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1140\/epjc\/s10052-018-5572-z","article-title":"Cosmological analysis of reconstructed \u2131(T,T\ud835\udca2) models","volume":"78","author":"Sharif","year":"2018","journal-title":"Eur. Phys. J. C"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1007\/s10509-017-3049-4","article-title":"Unification of late-and early-time acceleration, with that of the intermediate eras, by scalar fields","volume":"362","author":"Kleidis","year":"2017","journal-title":"Astrophys. Space Sci."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"706","DOI":"10.1140\/epjc\/s10052-018-6198-x","article-title":"Tsallis holographic dark energy in the Brans-Dicke cosmology","volume":"78","author":"Ghaffari","year":"2018","journal-title":"Eur. Phys. J. C"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"123009","DOI":"10.1103\/PhysRevD.89.123009","article-title":"Holographic dark energy in the DGP braneworld with Granda-Oliveros cutoff","volume":"89","author":"Ghaffari","year":"2014","journal-title":"Phys. Rev. D"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"1750084","DOI":"10.1142\/S0218271817500845","article-title":"Stability analysis of Einstein universe in f(\ud835\udca2,T) gravity","volume":"26","author":"Sharif","year":"2017","journal-title":"Int. J. Mod. Phys. D"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"064025","DOI":"10.1103\/PhysRevD.87.064025","article-title":"Cosmographic reconstruction of f(T) cosmology","volume":"87","author":"Aviles","year":"2013","journal-title":"Phys. Rev. D"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"124037","DOI":"10.1103\/PhysRevD.91.124037","article-title":"Transition redshift in f(T) cosmology and observational constraints","volume":"91","author":"Capozziello","year":"2015","journal-title":"Phys. Rev. D"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1007\/s10714-018-2374-4","article-title":"Cosmic acceleration in non-flat f(T) cosmology","volume":"50","author":"Capozziello","year":"2018","journal-title":"Gen. Relativ. Gravit."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"141301","DOI":"10.1103\/PhysRevLett.95.141301","article-title":"Limits of quintessence","volume":"95","author":"Caldwell","year":"2005","journal-title":"Phys. Rev. Lett."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1134\/1.1574831","article-title":"Statefinder-a new geometrical diagnostic of dark energy","volume":"77","author":"Sahni","year":"2003","journal-title":"J. Exp. Theor. Phys. Lett."},{"key":"ref_47","unstructured":"Aghanim, N., Akrami, Y., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A.J., Barreiro, R.B., Bartolo, N., and Basak, S. (arXiv, 2018). Planck 2018 results. VI. Cosmological parameters, arXiv."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"123516","DOI":"10.1103\/PhysRevD.86.123516","article-title":"Cosmography and constraints on the equation of state of the Universe in various parametrizations","volume":"86","author":"Aviles","year":"2012","journal-title":"Phys. Rev. D"},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"1630002","DOI":"10.1142\/S0219887816300026","article-title":"On the theory and applications of modern cosmography","volume":"13","author":"Dunsby","year":"2016","journal-title":"Int. J. Geom. Meth. Mod. Phys."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/11\/1\/92\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T12:26:15Z","timestamp":1760185575000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/11\/1\/92"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1,15]]},"references-count":49,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2019,1]]}},"alternative-id":["sym11010092"],"URL":"https:\/\/doi.org\/10.3390\/sym11010092","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,1,15]]}}}