Abstract
In the context of \(f(R,T)\) modified gravity theory, we consider a homogeneous and anisotropic Bianchi type-I cosmological model which relies on the condition of a constant jerk parameter, \(j=1\), corresponding to a flat \(\Lambda\)CDM model. Under this condition, we obtain two different solutions, one is power-law and the other one is exponential. The power-law solution gives a decelerating model, while the exponential one yields an accelerating cosmology. We discuss the physical and geometric properties of both models, validity of the solutions, and the significance of modified \(f(R,T)\) gravity for the models.
Similar content being viewed by others
References
S. Perlmutter et al., Astrophys. J. 483, 565 (1997).
S. Perlmutter et al., Nature 391, 51 (1998).
S. Perlmutter et al., Astrophys. J. 517, 565 (1999).
A. G. Riess et al., Astron. J. 116, 1009 (1998).
C. Bennett et al., Astrophys. J. Suppl. 148, 1 (2003).
D. N. Spergel et al., Astrophys. J. Suppl. 148, 175 (2003).
D. N. Spergel et al., Astrophys. J. Suppl. 170, 377 (2007).
A. G. Riess et al., Astrophys. J. 607, 665 (2004).
E. Hawkins et al., Mon. Not. R. Astron. Soc. 346, 78 (2003).
M. Tegmark et al., Phys. Rev. D 69, 103501 (2004).
S. Cole et al., Mon. Not. R. Astron. Soc. 362, 505 (2005).
D. J, Eisentein et al., Astrophys. J. 633 560 (2005).
P. A. R. Ade et al., Astron. Astrophys. 594, A13 (2016).
P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75, 559 (2003).
E. J. Copeland, M. Sami, and S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006).
B. Ratra and P. J. E. Peebles, Phys. Rev. D 37, 3406 (1988).
C. Wetterich, Nucl. Phys. B 302, 668 (1988).
M. Khurshudyan, E. Chubaryan, and B. Pourhassan, Int. J. Theor. Phys. 53, 2370 (2014).
C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000).
A. Y. Kamenshchik, U. Moschella, and V. Pasquier, Phys. Lett. B 511, 265 (2001).
M. C. Bento, O. Bertolami, and A. A. Sen, Phys. Rev. D 66, 043507 (2002).
L. Xu, J. Lu, and Y. T. Wang, Eur. Phys. J. C 72, 188 (2012).
H. Saadat and B. Pourhassan, Astroph. Space Sci. 344, 237 (2013).
B. Pourhassan, Int. J. Mod. Phys. D 22, 1350061 (2013).
J. Sadeghi, B. Pourhassan, M. Khurshudyan, and H. Farahani, Int. J. Theor. Phys. 53, 911 (2014).
H. A. Buchdahl, Not. R. Astron. Soc. 150, 1 (1970).
G. C. Samanta and N. Godani, Eur. Phys. J. C 79, 623 (2019).
G. C. Samanta and N. Godani, Mod. Phys. Lett. A 34, 1950224 (2019).
N. Godani and G. C. Samanta, Mod. Phys. Lett. A 34, 1950226 (2019).
N. Godani and G. C. Samanta, Int. J. Mod. Phys. D 28, 1950039 (2019).
N. Godani and G. C. Samanta, New Astronomy 80, 101399 (2020).
N. Godani and G. C. Samanta, Eur. Phys. J. C 80, 30 (2020).
N. Godani and G. C. Samanta, Indian J. Phys. 94, 1303 (2020).
T. Harko, F. S. N. Lobo, S. Nojiri, and S. D. Odintsov, Phys. Rev. D 84, 024020 (2011).
K. S. Adhav, Astroph. Space Sci. 339, 365 (2012).
V. U. M. Rao and D. Neelima, Astroph. Space Sci. 345, 427 (2013).
D. Momeni, R. Myrzakulov and E. Gudekli, Int. J. Geom. Methods Mod. Phys. 12, 1550101 (2015).
P. K. Sahoo and M. Sivakumar, Astroph. Space Sci. 357, 60 (2015).
M. F. Shamir, Int. J. Theor. Phys. 54, 1304 (2015).
A. Alhamzawi and R. Alhamzawi, Int. J. Mod. Phys. D 25, 1650020 (2016).
C. Aktas, and S. Aygun, Chin. J. Phys. 55, 71 (2017).
S. Aygun, C. Aktas, and I. Yilmaz, Arch. Curr. Res. Int. 11, ACRI.37868 (2017).
R. Chaubey, A. K. Shukla, R. Raushan, and T. Singh, Indian J. Phys. 90, 233 (2016).
D. Sofuoglu, Astroph. Space Sci. 361, 12 (2016).
B. K. Bishi et al., IJGMMP D 17, 00171 (2017).
R. K. Tiwari, A. Beesham, and B. K. Shukla, IJGMMP 15, 1850189 (2018).
D. Sofuoglu, Int. J. Mod. Phys. D 28, 1950089 (2019).
N. Godani and G. C. Samanta, Chin. J. Phys. 62, 161 (2019).
N. Godani and G. C. Samanta, Chin. J. Phys. 66, 787 (2020).
V. Singh and A. Beesham, Eur. Phys. J. Plus 135, 319 (2020).
G. P. Singh and B. K. Bishi, Rom. J. Phys. 60, 32 (2015).
C. Aktas, Mod. Phys. Lett. A 34, 1950098 (2019).
S. Aygun, Mod. Phys. Lett. A 34, 1950280 (2019).
R. K. Tiwari, D. Sofuoglu, and S. K. Mishra, New Astronomy 83, 101476 (2021).
S. Jokweni, V. Singh, and A. Beesham, Grav. Cosmol. 27, 169 (2021).
M. Visser, Gen. Rel. Grav. 37, 1541 (2005).
D. Rapetti, S. W. Allen, M. A. Amin, and R. D. Blandford, Mon. Not. R. Astron. Soc. 375, 1510 (2007).
R. K. Tiwari, A. Beesham, and B. Shukla, IJGMMP 15, 1850115 (2018).
M. J. S. Houndjo and O. F. Piattella, Int. J. Mod. Phys. D 2, 1250024 (2012).
C. P. Singh and V. Singh, Gen. Rel. Grav. 46, 1696 (2014).
V. Singh and C. P. Singh, Astroph. Space Sci. 356, 153 (2015).
V. Singh and A. Beesham, Eur. Phys. J. C 78, 564 (2018).
V. Singh and A. Beesham, Astroph. Space Sci. 365, 125 (2020).
ACKNOWLEDGMENTS
We are grateful to the reviewer for illuminating suggestions that have improved our study.
Funding
D.S. is supported by the Istanbul University Scientific Research Projects (BAP) Unit under project number BYP-2019-34605.
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Tiwari, R.K., Sofuoglu, D., Mishra, S.K. et al. Anisotropic Model with Constant Jerk Parameter in \(\boldsymbol{f(R,T)}\) Gravity. Gravit. Cosmol. 28, 196–203 (2022). https://doi.org/10.1134/S0202289322020141
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0202289322020141