Abstract
This manuscript is based on an investigation of bouncing cosmology in a 4D Einstein Gauss-Bonnet gravity. Various bouncing models such as symmetric bounce, matter bounce, super bounce, and oscillatory bounce have been examined. Expressions for energy density, pressure, equation of state parameter have been derived in the most general manner and then reduced to 4D Einstein Gauss-Bonnet gravity for isotropic, homogenous, FLRW cosmos. Physical interpretation of Hubble and deceleration parameters has also been discussed and plotted for each model from non-vanishing scale factors. Non-singular bouncing models indulge in accelerating late-time cosmic acceleration phenomenon. It has been analysed that the Gauss-Bonnet coupling parameter has a lesser contribution to the dynamics of modified gravity while the bouncing parameter has noticeable effects. We have examined various energy conditions and witnessed the violation of strong and null energy conditions in bouncing models. Analytical expressions for jerk and snap parameters have also been calculated in terms of cosmic time and redshift. We have explored bouncing models through specific cosmographic tests to check their validity. Also, through stability analysis, matter bounce becomes the most stable model by increasing the value of the bouncing parameter. To find best-fit values, bouncing models have been constrained with Hubble data set and \(\Lambda\)CDM. We have calculated the values of parameters by applying the least-square fitting method. To make this analysis quantified, we have employed reduced chi-squared method on H(z) data sets for each model.
Similar content being viewed by others
Data availability statement
No data associated in the manuscript.
References
C.M. Will, Liv. Rev. Rel. 9, 3 (2006)
S.W. Hawking, G.F.R. Ellis, The Large Scale Struc- Ture of Space Time (Cambridge University Press, Cambridge, 1973)
R. Penrose, The role of general relativity. Nuovo Cim. Gravity Collapse. 1, 252 (1969)
D.J. Gross, E. Witten, Nucl. Phys. B 277, 1 (1986)
M.C. Bento, O. Bertolami, Phys. Lett. B 368, 198 (1996)
B. Zwiebach, Phys. Lett. B 156, 315 (1985)
D. Garfinkle, G.T. Horowitz, A. Strominger, Phys. Rev. D 43, 3140 (1991)
G.W. Gibbons, K. Maeda, Nucl. Phys. B 298, 741 (1988)
D.G. Boulware, S. Deser, Phys. Rev. Lett. 55, 2656 (1985)
D. Lovelock, J. Math. Phys. 12, 498 (1971)
S. Nojiri, S.D. Odintsov, Phys. Let. B 631, 1 (2005)
S. Nojiri, S.D. Odintsov, O. Gorbunova, J. Phys. A 39, 6627 (2006)
T. Chiba, J. Cosmo. Astropart. Phys. 3, 107 (2005)
C. Aïnamon, M.J.S. Houndjo, A.A.L. Ayivi, M.G. Ganiou, A. Kanfon, J. Mod. Phys. 12, 6 (2021)
N.M. Garcia, T. Harko, F.S.N. Lobo, J.P. Mimoso, Phy. Rev. D 83, 104032 (2011)
M. Sharif, A. Ikram, Eur. Phys. J. C 76, 640 (2016)
E. Elizalde, R. Myrzakulov, V.V. Obukhov, D. Saez-Gomez, Class. Quant, Grav 27, 095007 (2010)
K. Bamba, S.D. Odintsov, L. Sebastiani, S. Zerbini, Eur. Phys. J. C 67, 295 (2010)
A. de la Cruz-Dombriz, D. Saez-Gomez, Class. Quantum Gravity 29, 245014 (2012)
D. Glavan, C. Lin, Phys. Rev. Lett. 124, 081301 (2020)
R.P. Woodard, Scholarpedia 10, 32243 (2015)
S.G. Ghosh, R. Kumar, Class. Quantum Gravity 37, 245008 (2020)
R. A. Konoplya, A. Zhidenko, Phys. Dark Univ. 30, 100697 (2020)
S.W. Wei, Y.X. Liu, Phys. Rev. D 101, 104018 (2020)
K. Yang, B. M. Gu, S. W. Weiand Y. X. Liu, Eur. Phys. J. C 80, 662 (2020)
S.G. Ghosh, S.D. Maharaj, Phys. Dark Univ. 30, 100687 (2020)
A. Abdujabbarov, J. Rayimbaev, B. Turimov, F. Atamurotov, Phys. Dark Univ. 30, 100715 (2020)
K. Jafarzade, M. Kord Zangeneh and F.S.N. Lobo, J. Cosmol. Astropart. Phys. 04, 008 (2021)
P.G.S. Fernandes, Phys. Lett. B 805, 135468 (2020)
S.U. Islam, R. Kumar, S.G. Ghosh, J. Cosmol. Astropart. Phys. 2009, 030 (2020)
M.S. Churilova, Phys. Dark Univ. 31, 100748 (2021)
X.X. Zeng, H.Q. Zhang, H. Zhang, Eur. Phys. J. C 80, 872 (2020)
K. Jusufi, A. Banerjee, S.G. Ghosh, Eur. Phys. J. C 80, 698 (2020)
A. Banerjee, T. Tangphati, P. Channuie, Astrophys. J. 909, 13 (2021)
J. M. Z. Pretel, A. Pradhan, A. Banerjee, Eur. Phys. J. C 82, 180 (2022)
S. Shahidi, N. Khosravi, Eur. Phys. J. C 82, 269 (2022)
M. Novello, S.E.P. Bergliaffa, Phys. Rept. 463, 127 (2008)
R. H. Brandenberger (2012). [arXiv:1206.4196]
V. Mukhanov, Physical Foundations of Cosmology (Cambridge University Press, Oxford, 2005)
K. Bamba, S.D. Odintsov, Symmetry 7, 220 (2015)
K. Bamba, G.G.L. Nashed, W. El Hanafy, S.K. Ibraheem, Phys. Rev. D 94, 8 (2016)
W. El Hanafy and Emmanuel N. Saridakis J. Cosmol. Astropart. Phys. 09, 019 (2021)
M. Hohmann, L. Jarv, U. Ualikhanova, Phys. Rev. D 96, 4 (2017)
J. Haro, J. Amoros, J. Cosmol. Astropart. Phys. 1412, 12 (2014)
J. Haro, J. Cosmol. Astropart. Phys. 1311, 068 (2013)
G. Kofinas, E.N. Saridakis, Phys. Rev. D 90, 084044 (2014)
G. Kofinas, G. Leon, E.N. Saridakis, Class. Quantum Gravity 31, 175011 (2014)
A. de la Cruz-Dombriz, G. Farrugia, J.L. Said, D.S.-C. Gomez, Phys. Rev. D 97, 10 (2018)
A. de la Cruz-Dombriz, G. Farrugia, J.L. Said, D.S.-C. Gomez, Class. Quantum Gravity 34, 23 (2017)
G. Kofinas, E.N. Saridakis, Phys. Rev. D 90, 084045 (2014)
Y.F. Cai, D.A. Easson, R. Brandenberger, J. Cosmol. Astropart. Phys. 1208, 020 (2012)
R.H. Brandenberger, Proc. Sci. 001, 2010 (2010)
D. Battefeld, P. Peter, Phys. Rep. 571, 1 (2015)
A. Ilyas, M. Zhu, Y. Zheng, Y.F. Cai, E.N. Saridakis, J. Cosmol. Astropart. Phys. 09, 002 (2020)
A. Ilyas, M. Zhu, Y. Zheng, Y.F. Cai, J. High Energy Phys. 01, 141 (2021)
M. Zhu, A. Ilyas, Y. Zheng, Y. F. Ca, E. N. Saridakis, J. Cosmol. Astropart. Phys. 11, 045 (2021)
M. Farasat Shamir, Phys. Dark Univ. 32, 100794 (2021)
M. Caruana, G. Farrugi , J. Levi Said, Eur. Phys. J. C 80, 640 (2020)
S. Mandal, N. Myrzakulov, P. K. Sahoo1, R. Myrzakulov, Eur. Phys. J. Plus 136, 760 (2021)
H. Shabani, A.H. Ziaie, Eur. Phys. J. C 78, 397 (2018)
K. Bamba, A.N. Makarenko, A.N. Myagky, S. Nljiri, S.D. Odintosov, J. Cosmol. Astropart. Phys. 01, 008 (2014)
K. Bamba, A.N. Makarenko, A.N. Myagky, S.D. Odintosov, Phys. Lett. B 732, 349 (2014)
S. Chakraborty, Phys. Rev. D 98, 024009 (2018)
Y.F. Cai, Sci. China, Phys., Mech. Astron. 57, 1414 (2014)
S.D. Odintsov, V.K. Oikonomou, Phys. Rev. D 90, 124083 (2014)
S.D. Odintsov, V.K. Oikonomou, Phys. Rev. D 92, 024016 (2015)
Y.B. Li, J. Quintin, D.G. Wang, Y.F. Cai, J. Cosmol. Astropart. Phys. 03, 031 (2017)
Y.F. Cai, S.H. Chen, J.B. Dent, S. Dutta, E.N. Saridakis, Class. Quantum Gravity 28, 215011 (2011)
J.D. Haro, Y.F. Cai, Gen. Relativ. Gravity 47, 95 (2015)
P. Sahoo, S. Bhattacharjee, S.K. Tripathy, P.K. Sahoo, Mod. Phys. Lett. A 2050095, 14 (2020)
C. Cattoen, M. Visser, Class. Quantum Gravity 22, 4913–4930 (2005)
S. Capozziello, S. Nojiri, S.D. Odintsov, Phys. Lett. B 781, 99–106 (2018)
U. Alam, V. Sahni, T.D. Saini, A.A. Starobinsky, Mon. Not. R. Astron. Soc. 344, 1057 (2003)
A.G. Riess et al., Astrophys. J. 607, 665 (2004)
V. Sahni, T.D. Saini, A.A. Starobinsky, U. Alam, JETP Lett. 77, 201–206 (2003)
F. Y. Wang, Z. G. Dai1, Shi Qi, Astron. Astrophys. 507, 53 (2009)
D. Rapetti, S.W. Allen, M.A. Amin, R.D. Blandford, Mon. Not. Roy. Astron. Soc. 375, 1510 (2007)
A. Mukherjee, N. Banerjee, Astrophys. Space Sci. 352, 893 (2014)
A. Aviles, C. Gruber, O. Luongo, H. Quevedo, Phys. Rev. D 86, 123516 (2012)
S.K. Tripathy, R.K. Khuntia, P. Parida, Eur. Phys. J. Plus 134, 504 (2019)
A.S. Agrawal, L. Pati, S.K. Tripathy, B. Mishra, Phys. Dark Universe 33, 100863 (2021)
S. Mandal, S. Bhattacharjee, S.K.J. Pacif, P.K. Sahoo, Phys. Dark Universe 28, 100551 (2020)
D.S. Wilks, Statistical Method in the Atomspheric Sciences (Elsevier Inc, Burlington, 2006)
G.S. Sharov, E.S. Sinyakov, Math. Model. Anal. 8, 1 (2020)
N. Suzuki et al., Astrophys. J. 746, 85 (2012)
J. Simon, L. Verde, R. Jimenez, Phys. Rev. D 71, 123001 (2005)
D. Stern et al., J. Cosmol. Astropart. Phys. 02, 008 (2010)
M. Moresco et al., J. Cosmol. Astropart. Phys. 08, 006 (2012)
N. G. Busca, et al. Astron. Astrophys. 552, A96 (2012)
C. Zhang et al., Res. Astron. Astrophys. 14, 1221 (2014)
C. Blake, et al. Mon. Not. R. Astron. Soc. 425, 1 (2012)
C. H. Chuang, Y. Wang, Mon. Not. R. Astron. Soc., 435(1), 11 (2013)
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors have no competing interests to declare that are relevant to the content of this article.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Zubair, M., Farooq, M. Bouncing behaviours in four dimensional Einstein Gauss-Bonnet gravity with cosmography and observational constraints. Eur. Phys. J. Plus 138, 173 (2023). https://doi.org/10.1140/epjp/s13360-023-03772-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-023-03772-1