{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T01:22:59Z","timestamp":1772673779594,"version":"3.50.1"},"reference-count":51,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2016,5,1]],"date-time":"2016-05-01T00:00:00Z","timestamp":1462060800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Eur. Phys. J. C"],"published-print":{"date-parts":[[2016,5]]},"DOI":"10.1140\/epjc\/s10052-016-4094-9","type":"journal-article","created":{"date-parts":[[2016,5,2]],"date-time":"2016-05-02T11:25:04Z","timestamp":1462188304000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Soliton models for thick branes"],"prefix":"10.1140","volume":"76","author":[{"given":"Marzieh","family":"Peyravi","sequence":"first","affiliation":[]},{"given":"Nematollah","family":"Riazi","sequence":"additional","affiliation":[]},{"given":"Francisco S. N.","family":"Lobo","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,5,2]]},"reference":[{"key":"4094_CR1","unstructured":"R. Maartens, Brane world gravity. Living Rev. Rel. 7, 7 (2004). arXiv:gr-qc\/0312059"},{"key":"4094_CR2","doi-asserted-by":"crossref","unstructured":"R. Davies, D.P. George, R.R. Volkas, The standard model on a domain-wall brane. Phys. Rev. D 77, 124038 (2008). arXiv:0705.1584 [hep-ph]","DOI":"10.1103\/PhysRevD.77.124038"},{"key":"4094_CR3","doi-asserted-by":"crossref","first-page":"022","DOI":"10.1088\/1126-6708\/2001\/01\/022","volume":"0101","author":"GW Gibbons","year":"2001","unstructured":"G.W. Gibbons, R. Kallosh, A.D. Linde, Brane world sum rules. JHEP 0101, 022 (2001). arXiv:hep-th\/0011225","journal-title":"JHEP"},{"key":"4094_CR4","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1016\/S0370-2693(00)00204-5","volume":"477","author":"P Binetruy","year":"2000","unstructured":"P. Binetruy, C. Deffayet, U. Ellwanger, D. Langlois, Brane cosmological evolution in a bulk with cosmological constant. Phys. Lett. B 477, 285 (2000). arXiv:hep-th\/9910219","journal-title":"Phys. Lett. B"},{"key":"4094_CR5","doi-asserted-by":"crossref","unstructured":"D.P. George, R.R. Volkas, Kink modes and effective four dimensional fermion and Higgs brane models. Phys. Rev. D 75, 105007 (2007). arXiv:hep-ph\/0612270","DOI":"10.1103\/PhysRevD.75.105007"},{"key":"4094_CR6","doi-asserted-by":"crossref","unstructured":"O. DeWolfe, D.Z. Freedman, S.S. Gubser, A. Karch, Modeling the fifth-dimension with scalars and gravity. Phys. Rev. D 62, 046008 (2000). arXiv:hep-th\/9909134","DOI":"10.1103\/PhysRevD.62.046008"},{"key":"4094_CR7","doi-asserted-by":"crossref","unstructured":"J.A. Cabrer, G. von Gersdorff, M. Quiros, Soft-wall stabilization. New J. Phys. 12, 075012 (2010). arXiv:0907.5361 [hep-ph]","DOI":"10.1088\/1367-2630\/12\/7\/075012"},{"key":"4094_CR8","doi-asserted-by":"crossref","unstructured":"D.P. George, M. Trodden, R.R. Volkas, Extra-dimensional cosmology with domain-wall branes. JHEP 0902, 035 (2009). arXiv:0810.3746 [hep-ph]","DOI":"10.1088\/1126-6708\/2009\/02\/035"},{"key":"4094_CR9","doi-asserted-by":"crossref","unstructured":"D.P. George, Stability of gravity-scalar systems for domain-wall models with a soft wall. J. Phys. Conf. Ser. 259, 012034 (2010) arXiv:1010.1628 [hep-th]","DOI":"10.1088\/1742-6596\/259\/1\/012034"},{"key":"4094_CR10","doi-asserted-by":"crossref","DOI":"10.1142\/5975","volume-title":"Brane-localized gravity","author":"PD Mannheim","year":"2005","unstructured":"P.D. Mannheim, Brane-localized gravity (World Scientific, Hackensack, 2005)"},{"key":"4094_CR11","doi-asserted-by":"crossref","unstructured":"L. Randall, R. Sundrum, A Large mass hierarchy from a small extra dimension. Phys. Rev. Lett. 83, 3370 (1999). arXiv:hep-ph\/9905221","DOI":"10.1103\/PhysRevLett.83.3370"},{"key":"4094_CR12","doi-asserted-by":"crossref","unstructured":"L. Randall, R. Sundrum, An alternative to compactification. Phys. Rev. Lett. 83, 4690 (1999). arXiv:hep-th\/9906064","DOI":"10.1103\/PhysRevLett.83.4690"},{"key":"4094_CR13","doi-asserted-by":"crossref","unstructured":"D.P. George, Survival of scalar zero modes in warped extra dimensions. Phys. Rev. D bf 83, 104025 (2011). arXiv:1102.0564 [hep-th]","DOI":"10.1103\/PhysRevD.83.104025"},{"key":"4094_CR14","unstructured":"D.P. George, Domain-wall brane models of an infinite extra dimension. Ph.D. thesis, The University of Melbourne, Australia (2009)"},{"key":"4094_CR15","doi-asserted-by":"crossref","unstructured":"J. Yang, Y.L. Li, Y. Zhong, Y. Li, Thick Brane Split caused by spacetime torsion. Phys. Rev. D 85, 084033 (2012). arXiv:1202.0129 [hep-th]","DOI":"10.1103\/PhysRevD.85.084033"},{"key":"4094_CR16","doi-asserted-by":"crossref","unstructured":"R. Menezes, First order formalism for thick branes in modified teleparallel gravity. Phys. Rev. D 89, 125007 (2014). arXiv:1403.5587 [hep-th]","DOI":"10.1103\/PhysRevD.89.125007"},{"key":"4094_CR17","unstructured":"D. Bazeia, L. Losano, R. Menezes, G.J. Olmo, D. Rubiera-Garcia, Thick brane in $$f(R)$$ f ( R ) gravity with Palatini dynamics. arXiv:1411.0897 [hep-th]"},{"key":"4094_CR18","first-page":"073","volume":"2013","author":"OO Novikov","year":"2013","unstructured":"O.O. Novikov, A.A. Andrianov, V.A. Andrianov, Gravity effects on the spectrum of scalar states on a thick brane. PoS QFTHEP 2013, 073 (2013)","journal-title":"PoS QFTHEP"},{"key":"4094_CR19","doi-asserted-by":"crossref","unstructured":"A.A. Andrianov, V.A. Andrianov, O.O. Novikov, Localization of scalar fields on self-gravitating thick branes. Phys. Part. Nucl. 44, 190 (2013). arXiv:1210.3698 [hep-th]","DOI":"10.1134\/S1063779613020044"},{"key":"4094_CR20","doi-asserted-by":"crossref","unstructured":"F. Dahia, A. de Albuquerque Silva, Classical tests of general relativity in thick branes. Eur. Phys. J. C 75(2), 87 (2015). arXiv:1410.5463 [gr-qc]","DOI":"10.1140\/epjc\/s10052-015-3307-y"},{"key":"4094_CR21","doi-asserted-by":"crossref","unstructured":"A. Ahmed, L. Dulny, B. Grzadkowski, Generalized Randall\u2013Sundrum model with a single thick brane. Eur. Phys. J. C 74, 2862 (2014). arXiv:1312.3577 [hep-th]","DOI":"10.1140\/epjc\/s10052-014-2862-y"},{"key":"4094_CR22","unstructured":"V. Andrianov, A.A. Andrianov, in Proceeding of Science, The XXth International Workshop High Energy Physics and Quantum Field Theory, 2011"},{"key":"4094_CR23","doi-asserted-by":"crossref","first-page":"2675","DOI":"10.1140\/epjc\/s10052-013-2675-4","volume":"73","author":"AA Andrianov","year":"2013","unstructured":"A.A. Andrianov, V.A. Andrianov, O.O. Novikov, Gravity effects on thick brane formation from scalar field dynamics. Eur. Phys. J. C 73, 2675 (2013). arXiv:1306.0723 [hep-th]","journal-title":"Eur. Phys. J. C"},{"key":"4094_CR24","doi-asserted-by":"crossref","unstructured":"A. Ahmed, B. Grzadkowski, J. Wudka, Thick-brane cosmology. JHEP 1404, 061 (2014). arXiv:1312.3576 [hep-th]","DOI":"10.1007\/JHEP04(2014)061"},{"key":"4094_CR25","doi-asserted-by":"crossref","unstructured":"V.I. Afonso, D. Bazeia, R. Menezes, A.Y. Petrov, f(R)-brane. Phys. Lett. B 658, 71 (2007). arXiv:0710.3790 [hep-th]","DOI":"10.1016\/j.physletb.2007.10.038"},{"key":"4094_CR26","doi-asserted-by":"crossref","unstructured":"D. Bazeia, R. Menezes, R. da Rocha, A note on asymmetric thick branes. Adv. High Energy Phys. 2014, 276729 (2014). arXiv:1312.3864 [hep-th]","DOI":"10.1155\/2014\/276729"},{"key":"4094_CR27","doi-asserted-by":"crossref","unstructured":"A.C. Davis, S.C. Davis, W.B. Perkins, I.R. Vernon, Brane world phenomenology and the Z(2) symmetry. Phys. Lett. B 504, 254 (2001). arXiv:hep-ph\/0008132","DOI":"10.1016\/S0370-2693(01)00291-X"},{"key":"4094_CR28","doi-asserted-by":"crossref","unstructured":"D. Yamauchi, M. Sasaki, Brane world in arbitrary dimensions without Z(2) symmetry. Prog. Theor. Phys. 118, 245 (2007). arXiv:0705.2443 [gr-qc]","DOI":"10.1143\/PTP.118.245"},{"key":"4094_CR29","doi-asserted-by":"crossref","first-page":"231101","DOI":"10.1103\/PhysRevLett.88.231101","volume":"88","author":"C Germani","year":"2002","unstructured":"C. Germani, C.F. Sopuerta, String inspired brane world cosmology. Phys. Rev. Lett. 88, 231101 (2002). arXiv:hep-th\/0202060","journal-title":"Phys. Rev. Lett."},{"key":"4094_CR30","unstructured":"J.E. Lidsey, Inflation and brane worlds. Lect. Notes Phys. 646, 357 (2004). arXiv:astro-ph\/0305528"},{"key":"4094_CR31","unstructured":"Y.B. Zeldovich, I.Y. Kobzarev, L.B. Okun, Cosmological consequences of the spontaneous breakdown of discrete symmetry. Zh. Eksp. Teor. Fiz. 67, 3 (1974). [Sov. Phys. JETP 40, 1 (1974)]"},{"key":"4094_CR32","doi-asserted-by":"crossref","first-page":"852","DOI":"10.1103\/PhysRevD.23.852","volume":"23","author":"A Vilenkin","year":"1981","unstructured":"A. Vilenkin, Gravitational field of vacuum domain walls and strings. Phys. Rev. D 23, 852 (1981)","journal-title":"Phys. Rev. D"},{"key":"4094_CR33","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/0370-2693(83)90554-3","volume":"133","author":"A Vilenkin","year":"1983","unstructured":"A. Vilenkin, Gravitational field of vacuum domain walls. Phys. Lett. B 133, 177 (1983)","journal-title":"Phys. Lett. B"},{"key":"4094_CR34","doi-asserted-by":"crossref","unstructured":"A. Vilenkin, Cosmic strings and domain walls. Phys. Rep. 121, 263 (1985)","DOI":"10.1016\/0370-1573(85)90033-X"},{"key":"4094_CR35","doi-asserted-by":"crossref","unstructured":"Y. Brihaye, T. Delsate, Remarks on bell-shaped lumps: stability and fermionic modes. Phys. Rev. D 78, 025014 (2008). arXiv:0803.1458 [hep-th]","DOI":"10.1103\/PhysRevD.78.025014"},{"key":"4094_CR36","doi-asserted-by":"crossref","unstructured":"A. Ahmed, B. Grzadkowski, Brane modeling in warped extra-dimension. JHEP 1301, 177 (2013). arXiv:1210.6708 [hep-th]","DOI":"10.1007\/JHEP01(2013)177"},{"key":"4094_CR37","doi-asserted-by":"crossref","first-page":"859","DOI":"10.1140\/epjc\/s10052-006-0144-z","volume":"49","author":"J Sadeghi","year":"2007","unstructured":"J. Sadeghi, A. Mohammadi, Shape invariance for the bent brane with two scalar fields. Eur. Phys. J. C 49, 859 (2007)","journal-title":"Eur. Phys. J. C"},{"key":"4094_CR38","doi-asserted-by":"crossref","unstructured":"V. I. Afonso, D. Bazeia, L. Losano, First-order formalism for bent brane. Phys. Lett. B 634, 526 (2006). arXiv:hep-th\/0601069","DOI":"10.1016\/j.physletb.2006.02.017"},{"key":"4094_CR39","unstructured":"W.T. Cruz, R.V. Maluf, L.J.S. Sousa, C.A.S. Almeida, Gravity localization in sine-Gordon braneworlds. arXiv:1412.8492 [hep-th]"},{"key":"4094_CR40","doi-asserted-by":"crossref","unstructured":"D. Bazeia, A.R. Gomes, Bloch brane. JHEP 0405, 012 (2004). arXiv:hep-th\/0403141","DOI":"10.1088\/1126-6708\/2004\/05\/012"},{"key":"4094_CR41","doi-asserted-by":"crossref","unstructured":"S. Jalalzadeh, H.R. Sepangi, Classical and quantum dynamics of confined test particles in brane gravity. Class. Quantum Gravity 22, 2035 (2005). arXiv:gr-qc\/0408004","DOI":"10.1088\/0264-9381\/22\/11\/008"},{"key":"4094_CR42","unstructured":"Y. Zhong, Y.X. Liu, Pure geometric thick $$f(R)$$ f ( R ) -branes: stability and localization of gravity. arXiv:1507.00630 [hep-th]"},{"key":"4094_CR43","doi-asserted-by":"crossref","unstructured":"F. Dahia, C. Romero, Confinement and stability of the motion of test particles in thick branes. Phys. Lett. B 651, 232, (2007). arXiv:gr-qc\/0702011","DOI":"10.1016\/j.physletb.2007.06.004"},{"key":"4094_CR44","doi-asserted-by":"crossref","unstructured":"N. Riazi, A.R. Gharaati, Dynamics of sine-Gordon solitons. Int. J. Theor. Phys. 37, 1081 (1998)","DOI":"10.1023\/A:1018827704764"},{"key":"4094_CR45","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1140\/epjb\/e2009-00331-0","volume":"72","author":"M Peyravi","year":"2009","unstructured":"M. Peyravi, A. Montakhab, N. Riazi, A. Gharaati, Interaction properties of the periodic and step-like solutions of the double-sine-Gordon equation. Eur. Phys. J. B 72, 269 (2009)","journal-title":"Eur. Phys. J. B"},{"key":"4094_CR46","doi-asserted-by":"crossref","unstructured":"K. Schnulle, Charged balanced black rings in five dimensions. J. Phys. Conf. Ser. 372, 012071 (2012)","DOI":"10.1088\/1742-6596\/372\/1\/012071"},{"key":"4094_CR47","unstructured":"M. Guidry, Gauge Field Theories (Wiley, New York, 2007)"},{"key":"4094_CR48","doi-asserted-by":"crossref","first-page":"3261","DOI":"10.1142\/S0217751X10049712","volume":"25","author":"S Hoseinmardy","year":"2010","unstructured":"S. Hoseinmardy, N. Riazi, Inelastic collision of kinks and antikinks in the phi6 system. Int. J. Mod. Phys. A 25, 3261 (2010)","journal-title":"Int. J. Mod. Phys. A"},{"key":"4094_CR49","doi-asserted-by":"crossref","unstructured":"Y. Zhong, Y.X. Liu, Linearization of thick K-branes. Phys. Rev. D 88, 024017 (2013). arXiv:1212.1871 [hep-th]","DOI":"10.1103\/PhysRevD.88.024017"},{"key":"4094_CR50","doi-asserted-by":"crossref","unstructured":"D. Bazeia, A.S. Lob\u00e3o, R. Menezes, Thick brane models in generalized theories of gravity. Phys. Lett. B 743, 98 (2015). arXiv:1502.04757 [hep-th]","DOI":"10.1016\/j.physletb.2015.02.037"},{"key":"4094_CR51","doi-asserted-by":"crossref","unstructured":"D. Bazeia, C. Furtado, A.R. Gomes, Brane structure from scalar field in warped space-time. JCAP 0402, 002 (2004). arXiv:hep-th\/0308034","DOI":"10.1088\/1475-7516\/2004\/02\/002"}],"container-title":["The European Physical Journal C"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1140\/epjc\/s10052-016-4094-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1140\/epjc\/s10052-016-4094-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1140\/epjc\/s10052-016-4094-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,7]],"date-time":"2019-09-07T06:52:11Z","timestamp":1567839131000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1140\/epjc\/s10052-016-4094-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,5]]},"references-count":51,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2016,5]]}},"alternative-id":["4094"],"URL":"https:\/\/doi.org\/10.1140\/epjc\/s10052-016-4094-9","relation":{},"ISSN":["1434-6044","1434-6052"],"issn-type":[{"value":"1434-6044","type":"print"},{"value":"1434-6052","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,5]]},"article-number":"247"}}