Anisotropic Bianchi Type-V Perfect Fluid Cosmological Models in f(R, T) Gravity

Kalpana Pawar¹ , N.T. Katre²

1. Dept. of Mathematics, Shivaji Science College, Nagpur, Dist. Nagpur (M.S.), India.
2. Dept. of Mathematics, Nabira Mahavidyalaya, Katol, Dist. Nagpur (M.S.), India.

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.4 , pp.1-12, Aug-2023

Online published on Aug 31, 2023

Copyright © Kalpana Pawar, N.T. Katre . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
This paper deals with the study of anisotropic Bianchi type-V cosmological model filled with perfect fluid in the framework of f(R, T) gravity, where R and T are the Ricci scalar and trace of the energy-momentum tensor respectively. To solve the field equations completely, we have considered two different cases: (i) the expansion scalar of the space-time is proportional to the shear scalar (Collins et al., 1980) which gives a relationship between metric potentials and (ii) the law of variation of Hubble’s parameter proposed by Berman (1983) which yields the constant deceleration parameter. We have studied some physical and kinematical parameters of both the models and discussed their behavior graphically. The constructed cosmological models are singularity free, expanding and do not approach isotropy throughout the evolution of universe. In the first case, universe decelerates in a standard way, while the second model represents both decelerating and accelerating phase of expansion. Also, the energy conditions are discussed for both the models.

Key-Words / Index Term :
Bianchi type-V, f(R, T) gravity, Perfect fluid, Anisotropic, Energy conditions.

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