Abstract
We investigate some bouncing cosmological models in an isotropic and homogeneous space-time with in \(F(R)\) theory of gravity. Two functional forms of \(F(R)\) have are studied with a bouncing scale factor. The dynamical parameters are derived and analyzed along with cosmographic parameters. A violation of sthe trong energy conditions in both bouncing models is also shown. We show that both models exhibit stable behavior with respect to cosmic time.
Similar content being viewed by others
References
A. Friedmann, Zeitschrift fur Physik 10, 377 (1922).
A. Friedmann, Z. Phys. 21, 326 (1924).
R. Brout, F. Englert, and E. Gunzig, Annals. Phys. 115, 78 (1978).
A. H. Guth et.al., Phys. Rev. D 23, 347 (1981).
A. A. Starobinsky, Phys. Lett. B 91, 99 (1980).
A. G. Riess et al., Astron. J. 116, 1009 (1998).
S. Perlmutter, M. S. Turner, and M. White, Phys. Rev. Lett. 83, 670 (1999).
M. Tegmark et al., Phys. Rev. D 69, 103501 (2004).
K. Abazajian et al., Astron. J. 128, 502 (2004).
D. N. Spergel et al., Astrophys. J. Suppl. 148, 175 (2003).
G. Hinshaw et al., Astrophys. J. Suppl. 208, 19 (2013).
D. Parkinson et al., Phys. Rev. D 86, 103518 (2012).
S. Weinberg, Rev. Mod. Phys. 61, 1 (1989).
A. Kamenshchik, U. Moschella, and V. Pasquier, Phys. Lett. B 511, 265 (2001).
R. R. Caldwell, Phys. Lett. B 545, 23 (2002).
A.R. Amani, Int. J. Theor. Phys. 50, 3078 (2011).
J. Sadeghi and A. R. Amani, Int. J. Theor. Phys. 48, 14 (2009).
M. R. Setare, J. Sadeghi, and A. R. Amani, Phys. Lett. B 673, 241 (2009).
M. R. Setare, J. Sadeghi, and A. R. Amani, Int. J. Mod. Phys. D 18, 1291 (2009).
A.R. Amani et al., Can. J. Phys. 90, 61 (2011).
S. M. Carroll et al., Phys. Rev. D 70, 043528 (2004).
S. Nojiric and S. D. Odintsov, Phys. Rev. D 68, 123512 (2003).
S. Nojiri and S. D. Odintsov, Int. J. Geom. Meth. Mod. Phys. 04, 115 (2007).
S. Nojiri, and S. D. Odintsov, Phys. Rep. 505, 59 (2011).
S. Nojiri and S. D. Odintsov, Int. J. Geom. Meth. Mod. Phys. 11, 1460006 (2014).
S. Capozziello and M. De Laurentis, Phys. Rep. 509, 167 (2011).
K. Bamba, C. Q. Geng, and C. C. Lee, J. Cosmol. Astropart. Phys. 11, 001 (2010).
K. Bamba et al., Astrophys. Space Sci. 342, 155 (2012).
L. Amendola et al., Phys. Rev.D 75, 083504 (2007).
S. Nojiri and S. D. Odintsov, Phys. Lett. B 631, 1 (2005).
E.V. Linder, Phys. Rev. D 81, 127301 (2010).
R. Myrzakulov, Eur. Phys. J. C 71, 1752 (2011).
T. Harko et al., Phys. Rev. D 84, 024020 (2011).
B. Mishra, S. Tarai, and S. K. Tripathy, Adv. High Energy Phys. 2016, 8543560 (2016).
B. Mishra, S. Tarai, and S. K. Tripathy, Ind. J. Phys. 92, 1199 (2018).
Z. Yousaf, K. Bamba, and M. Z. H. Bhatti, Phys. Rev. D 93, 124048 (2016).
H. Velten and T. R. P. Carames, Phys. Rev. D 95, 123536 (2017).
G. A. Carvalho et al., Eur. Phys. J. C 77, 871 (2017).
P. V. Tretyakov, Eur. Phys. J. C 78, 896 (2018).
E. H. Baffou et al., Eur. Phys. J. C 79, 112 (2019).
A. Alhamzawi and R. Alhamzawi, Int. J. Mod. Phys. D 25, 1650020 (2016).
M. E. S. Alves et al., Phys. Rev. D 94, 024032 (2016).
G. Abbas and R. Ahmed, Eur. Phys. J. C 77, 441 (2017).
H. Abedi et al., Phys. Rev. D 97, 084008 (2018).
R. D’Agostino and O. Luongo, Phys. Rev. D 98, 124013 (2018).
S. Capozziello and M. De Laurentis, Phys. Rep. 509, 167 (2011).
S. Capozziello, R. D’Agostino, and O. Luongo, Int. J. Mod. Phys. D 28, 1930016 (2019).
B. Mishra, S. K. Tripathy, and S. Tarai, Mod. Phys. Lett. A 33, 1850052 (2018).
B. Mishra, S. Tarai, and S.K. Tripathy, Mod. Phys. Lett. A 33, 1850170 (2018).
A. Conroy and T. Koivisto, Eur. Phys. J. C. 78, 923 (2018).
Y. Xu et al., Eur. Phys. J. C 79, 708 (2019).
K. Bamba et al, J. Cosmol. Astropart. Phys. 01, 008 (2014).
C. Barragan, G. J. Olmo, and H. S. Alepuz, Phys. Rev. D 80, 024016 (2009).
C. Barragan and G. J. Olmo, Phys. Rev. D 82, 084015 (2010).
S. Chakraborty, Phys. Rev. D 98, 024009 (2018).
K. Bamba et al., Phys. Lett. B 732, 349 (2014).
K. Bamba et al., J. Cosmol. Astropart. Phys. 04, 001 (2015).
J. K. Singh et al., Phys. Rev. D 97, 123536 (2018).
S. K. Tripathy, R. K. Khuntia, and P. Parida, Eur. Phys. J. Plus 134, 504 (2019).
B. Mishra, G. Ribeiro, and P. H. R. S. Moraes, Mod. Phys. Lett. 34, 1950321 (2019).
S. K. Tripathy et al., Chin. J. Phys. 71, 610 (2021).
A. S. Agrawal, F. Tello-Ortiz, B. Mishra, and S. K. Tripathy, Fortschr. Physik 2100065 (2021).
A. S. Agrawal, L. Pati, S. K. Tripathy, and B. Mishra, Physics Dark Univ. 33 100863 (2021).
Y. F. Cai, C. Gao, and E. N. Saridakis, Class. Quantum Grav. 28, 215011 (2011).
A. S. Agrawal, B. Mishra, and P. K. Agrawal, Eur. Phys. J. C 83, 113 (2023).
S. V. Lohakare, F. Tello-Ortiz, S. K. Tripathy, and B. Mishra, Universe 8 (12), 636 (2022).
S. D. Odintsov and V. K. Oikonomou, Int. J. Mod. Phys. D. 26 1750085 (2017).
E. Elizalde, S. D. Odintsov, V. K. Oikonomou, and Tanmoy Paul, Nucl. Phys. B 954, 114984 (2020).
T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys. 82, 451 (2010).
A. De Felice and S. Tsujikawa, Living Rev. Relativ. 13, 3 (2010).
W. Hu and I. Sawicki, Phys. Rev. D 76, 064004 (2007).
A. A. Starobinsky, JETP Lett. 86, 157 (2007).
G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, L. Sebastiani, and S. Zerbini, Phys. Rev. D 77, 046009 (2008).
M. F. Shamir and I. Fayyaz, Eur. Phys. J. C 80 1102 (2020).
Y. C. Chen et al., Eur. Phys. J. C 79 93 (2019).
S. D. Odintsov et al., Class Quantum Grav. 37, 235005 (2020).
S. D. Odintsov, T. Paul, I. Banerjee, R. Myrzakulov, and S. SenGupta, Physics Dark Univ. 33, 100864 (2021).
T. Saidov and A. Zhuk, Phys. Rev. D 81, 124002 (2010).
C. Barragan, G. J. Olmo, and H. Sanchis-Alepuz, Phys. Rev. D 80 024016 (2009).
G. J. Olmo and P. Singh, J. Cosmol. Astropart. Phys. 01, 30 (2009).
G. J. Olmo, Int. J. Mod. Phys. D 20, 413 (2011).
S. Nojiri, S.D. Odintsov, V.K. Oikonomou, and T. Paul, Phys. Rev. D 100, 084056 (2019).
S. D. Odintsov et al., Nucl. Phys. B 959, 115159 (2020).
P. A. R. Ade et al. [Planck Collaboration], Astron. Astroph. 571, 1432 (2014).
P. A. R. Ade et al. [Planck Collaboration], Astron. Astroph. 594, 1432 (2016).
Y. Akrami et al. [Planck Collaboration], Astron. Astroph. 641, 1432 (2020).
S. D. Odintsov et al., Class. Quantum Grav. 37, 235005 (2020).
E. V. Linder, Phys. Rev. D 72, 043529 (2005).
V. Sahni et al., JETP Lett. 77, 201 (2003).
S. Capozziello et al., MNRAS 494, 2576 (2020).
S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time (Cambridge Univ. Press, Cambridge, 1974).
A. Raychaudhuri, Phys. Rev. D 98, 1123 (1955).
S. Capozziello, S. Nojiri, and S. D. Odintsov, Phys. Lett. B 781, 99 (2018).
ACKNOWLEDGMENTS
The authors are thankful to the honorable referee for constructive comments and suggestions for improvement of the paper.
Funding
ASA acknowledges financial support provided by University Grants Commission (UGC) through Senior Research Fellowship (File No. 16-9 (June 2017)/2018 (NET/CSIR)). BM and SKT thank IUCAA, Pune, India for providing support through visiting associateship program.
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
The authors declare that they have no conflicts of interest.
Rights and permissions
About this article
Cite this article
Agrawal, A.S., Mishra, S., Tripathy, S.K. et al. Bouncing Cosmological Models in a Functional form of \(\boldsymbol{F(R)}\) Gravity. Gravit. Cosmol. 29, 294–304 (2023). https://doi.org/10.1134/S0202289323030027
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0202289323030027