We have studied the locally rotationally symmetric (LRS) Bianchi type-I cosmological model in f (R, T) gravity (R is the Ricci scalar and T is the trace of the stress energy tensor) with bulk viscous fluid as matter content. The model is constructed for the linear form f (R, T) = R + 2f (T). The exact solution of the field equations is obtained by using a time varying deceleration parameter q for a suitable choice of the function f (T). In this case, the bulk viscous pressure \( \overline{\mathrm{p}} \) is found to be negative and the energy density ρ is found to be positive. The obtained model is anisotropic, accelerating, and compatible with the results of astronomical observations. Also, some important features of physical parameters of this model have been discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
P. M. Garnavich et al., Astrophys. J., 493, L53, 1998.
A. G. Riess et al., Astron. J., 116, 1009, 1998.
S. Perlmutter et al., Astrophys. J., 517, 565, 1999.
S. Perlmutter et al., Astrophys. J., 483, 565, 1997.
C. L. Bennett et al., Astrophys. J. Suppl. Ser., 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.
T. Padmanabhan, Phys. Rept., 380, 235, 2003.
M. U. Farooq et al., Astrophys. Space Sci., 334(2), 243, 2011.
J. Martin, Mod. Phys. Lett. A, 23, 1252, 2008.
S. Nojiri, and S. D. Odintsov, Phys. Lett. B, 562, 147, 2003.
M .Jamil, I. Hussain, and D. Momeni, Eur. Phys. J. Plus, 126, 80, 2011.
T. Chilba et al., Phys. Rev. D, 62, 023511, 2000.
T. Padmanabhan and T. R. Chudhary, Phys. Rev. D, 66, 081301, 2002.
M. C. Bento, O. Bertolami, and A. A. Sen, Phys. Rev. D, 66, 043507, 2002.
R. C. Gupta and A. Pradhan, Int. J. Theor. Phys., 49(4), 821, 2010.
S. M. Carroll, V. Duvvuri, M. Trodden, and M. S. Turner, Phys. Rev. D, 70, 043528, 2004.
S. Nojiri and S. D. Odintsov, Int. J. Geom. Methods Mod. Phys., 4(1), 115, 2007.
O. Bertolami et al., Phys. Rev. D, 75, 104016, 2007.
G. R. Bengochea and R. Ferraro, Phys. Rev. D, 79, 124019, 2009.
E. V. Linder, Phys. Rev. D, 81, 127301, 2010.
K. Bamba, C. Q. Geng, S. Nojiri et al., Euro Phys. Lett., 89(5), 50003, 2010.
K. Bamba, S. D. Odintsov, L. Sebastiani et al., Eur. Phys. J.C., 67(1), 295, 2010.
M. E. Rodrigues, M. J. S.Houndjo, D. Mommeni et al., Can J. Phys., 92(2), 173, 2014.
T. Harko, F. S. N. Lobo, S. Nojiri et al., Phys. Rev. D, 84, 024020, 2011.
G. L. Murphy, Big-Bang Model Without Singularities, Phys. Rev. D, 8, 4231, 1973.
M. Lachieze-Rey and J. P. Luminet, Cosmic Topology, Phys. Reports, 254, 135, 1995.
V. A. Belinskii and I. M. Khalatnikov, Influence of viscosity on the character of cosmological evolution, Sov. Phys. JETP, 42, 205, 1975.
K. L. Mahanta, Astro. Space Sci., 353, 683, 2014.
C. P. Singh and V. Singh, Gen. Rel. Grav., 46, 1696, 2014.
P. K. Sahoo and M. Sivakumar, Astrophys. Space Sci., 357, 60, 2015.
P. K. Sahoo, Parbati Sahoo, and B. K. Bishi, Int. J. Geom. Methods Mod. Phys., 14, 1750097, 2017.
P. K. Sahoo, Acta Physica Polonica B Proceeding Supplement, 10, 369, 2017.
M. S. Berman, A special law of variation for Hubbles parameter, Nuovo Cimento B, 74, 182186, 1983.
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Astrofizika, Vol. 61, No. 1, pp. 153-162 (March 2018).
Rights and permissions
About this article
Cite this article
Sahoo, P., Reddy, R. LRS Bianchi Type-I Bulk Viscous Cosmological Models in f(R, T) Gravity. Astrophysics 61, 134–143 (2018). https://doi.org/10.1007/s10511-018-9522-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10511-018-9522-0