Abstract
Symmetric teleparallel gravity is an exceptional theory of gravity that is consistent with the vanishing affine connection. This theory is an alternative and a simpler geometrical formulation of general relativity, where the nonmetricity Q drives the gravitational interaction. Our interest lies in exploring the cosmological bouncing scenarios in a flat Friedmann–Limaître–Robertson–Walker spacetime within this framework. We explore bouncing scenarios with two different Lagrangian forms of f(Q) such as a linear and nonlinear dependence on Q. We have successfully examined all the energy conditions and stability analysis for both models to present a matter bounce.
Similar content being viewed by others
References
S. Perlmutter, SNCP Collaboration et al., Astrophys. J. 517, 565 (1999). arXiv:astro-ph/9812133
A.G. Riess, Supernova Search Team Collaboration et al., Astron. J. 116, 1009 (1998). arXiv:astro-ph/9805201
M. Tegmark, SDSS Collaboration et al., Phys. Rev. D 69, 103501 (2004). arXiv:astro-ph/0310723
U. Seljak, SDSS Collaboration et al., Phys. Rev. D 71, 103515 (2005). arXiv:astro-ph/0407372
D.J. Eisenstein, SDSS Collaboration et al., Astrophys. J. 633, 560 (2005). arXiv:astro-ph/0501171
D.N. Spergel, WMAP Collaboration et al., Astrophys. J. Suppl. 148, 175 (2003). arXiv:astro-ph/0302209
E. Komatsu, WMAP Collaboration et al., Astrophys. J. Suppl. 180, 330 (2009). arXiv:0803.0547 [astro-ph]
E. Komatsu, WMAP Collaboration et al., Astrophys. J. Suppl. 192, 18 (2011). arXiv:1001.4538 [astro-ph.CO]
B. Jain, A. Taylor, Phys. Rev. Lett. 91, 141302 (2003). arXiv:astro-ph/0306046
S. Carlip, Phys. Rev. Lett. 123, 131302 (2019). arXiv:1809.08277
E.J. Copeland, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753–1936 (2006). arXiv:hep-th/0603057
M. Shahalam, S.D. Pathak, S. Li, R. Myrzakulov, A. Wang, Eur. Phys. J. C 77, 686 (2017). arXiv:1702.04720
M. Jamil, D. Momeni, R. Myrzakulov, Eur. Phys. J. C 72, 2137 (2012). arXiv:1210.0001
S. Myrzakul, R. Myrzakulov, L. Sebastiani, Astrophys. Space Sci. 361, 254 (2016). arXiv:1605.02726
M. Jamil, D. Momeni, N.S. Serikbayev, R. Myrzakulov, Astrophys. Space Sci. 339, 37–43 (2012). arXiv:1112.4472
S. Ahmad, N. Myrzakulov, R. Myrzakulov, JCAP 07, 032 (2016). arXiv:1510.04795
H.A. Buchdahl, Mon. Not. R. Astron. Soc. 150, 1 (1970). https://doi.org/10.1093/mnras/150.1.1
G. Bengochea, R. Ferraro, Phys. Rev. D 79, 124019 (2009). arXiv:0812.1205
J.M. Nester, H.-J. Yo, Chin. J. Phys. 37, 2 (1999). arXiv:gr-qc/9809049
J.B. Jimenez, L. Heisenberg, T. Koivisto, Phys. Rev. D 98, 044048 (2018). arXiv:1710.03116
J. Lua, X. Zhao, G. Cheeb, Eur. Phys. J. C 79, 530 (2019). arXiv:1906.08920
V. Gakis, M. Krššák, J. Levi Said, E.N. Saridakis, Phys. Rev. D 101, 064024 (2020). arXiv:1908.05741
M. Hohmann, C. Pfeifer, J. Levi Said, U. Ualikhanova, Phys. Rev. D 99, 024009 (2019). arXiv:1808.02894
I. Soudi, G. Farrugia, V. Gakis, J.L. Said, E.N. Saridakis, Phys. Rev. D 100(4), 044008 (2019). arXiv:1810.08220
S. Mandal, D. Wang, P.K. Sahoo, Phys. Rev. D 102(12), 124029 (2019). arXiv:2011.00420
Z. Hassan, S. Mandal, P.K. Sahoo, Fortschritte der Physik, (2021). arXiv: 2102.00915
Z. Yousaf, M. Sharif, M. Ilyas, M.Z. Bhatti, Int. J. Geom. Methods Mod. Phys. 15, 1850146 (2018). arXiv:1806.09275
K. Bamba, M. Ilyas, M.Z. Bhatti, Z. Yousaf, Gen. Relativ. Gravit. 49, 112 (2017). arXiv:1806.09275
S. Capozziello, F.S.N. Lobo, J.P. Mimoso, Phys. Lett. B 730, 280–283 (2014). arXiv:1312.0784
S. Arora, P.K. Sahoo, Phys. Scr. 95(9), 095003 (2020). arXiv:2010.00281
S. Mandal, P.K. Sahoo, Eur. Phys. J. Plus 135, 706 (2020). arXiv:2005.07043
S. Mandal, P.K. Sahoo, J.R.L. Santos, Phys. Rev. D 102(2), 024057 (2020). arXiv:2008.01563
S. Arora, J.R.L. Santos, P.K. Sahoo, Phys. Dark Univ. 31, 100790 (2021). arXiv:2009.00240
Ali Övgün, Kimet Jusufi, İzzet Sakalli, Phys. Rev. D 99, 024042 (2019). arXiv:1804.09911
S.D. Odintsov, V.K. Oikonomou, T. Paul, Class. Quantum Grav. 37, 235005 (2020). arXiv:2009.09947
M.A. Skugoreva, A.V. Toporensky, Eur. Phys. J. C 80, 1054 (2020). arXiv:2009.11410
V.K. Oikonomou, Phys. Rev. D 92, 124027 (2015). arXiv:1509.05827
S. Nojiri, S.D. Odintsov, V.K. Oikonomou, Phys. Rep. 692, 1–104 (2017). arXiv:1705.11098
F. Bajardi, D. Vernieri, S. Capozziello, Eur. Phys. J. Plus 135, 912 (2020). arXiv:2011.01248
A. Raychaudhuri, Phys. Rev. 98, 1123 (1955)
J. Ehlers, Int. J. Mod. Phys. D 15, 1573 (2006)
S. Nojiri, S.D. Odintsov, Int. J. Geom. Methods Mod. Phys. 4, 115 (2007). arXiv:hep-th/0601213
S. Capozziello et al., Phys. Lett. B 781, 9 (2018). arXiv:1803.08815
M. Novello, S.E. Perez Bergliaffa, Phys. Rept. 463, 127–213 (2008). arXiv:0802.1634
Y.-F. Cai, D.A. Easson, R. Brandenberger, JCAP 1208, 020 (2012). arXiv:1206.2382
M. Koehn, J.-L. Lehners, B.A. Ovrut, Phys. Rev. D 90, 025005 (2014). arXiv:1310.7577
V.K. Oikonomou, Astrophys. Space Sci. 359, 30 (2015). arXiv:1412.4343
P. Singh, K. Vandersloot, G.V. Vereshchagin, Phys. Rev. D 74, 043510 (2006). arXiv:gr-qc/0606032
E. Wilson-Ewing, JCAP 1303, 026 (2013). arXiv:1211.6269
S. Nojiri, S.D. Odintsov, S. Tsujikawa, Phys. Rev. D 71, 063004 (2005). arXiv:hep-th/0501025
F.R. Klinkhamer, Z.L. Wang, LHEP 2, 3 (2019). arXiv:1906.04708
R. Lazkoz et al., Phys. Rev. D 100, 104027 (2019). arXiv:1907.13219
Acknowledgements
S.M. acknowledges Department of Science & Technology (DST), Govt. of India, New Delhi, for awarding Junior Research Fellowship (File No. DST/INSPIRE Fellowship/2018/IF180676). The work was supported by the Ministry of Education and Science of the Republic of Kazakhstan, Grant AP09058240. We are very much grateful to the honorable referee and the editor for the illuminating suggestions that have significantly improved our work in terms of research quality and presentation.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mandal, S., Myrzakulov, N., Sahoo, P.K. et al. Cosmological bouncing scenarios in symmetric teleparallel gravity. Eur. Phys. J. Plus 136, 760 (2021). https://doi.org/10.1140/epjp/s13360-021-01749-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-021-01749-6