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https://www.ias.ac.in/article/fulltext/pram/088/04/0065

Cosmological model; $f (R, T)$ gravity; cosmological constant; cosmological parameters

The general class of anisotropic Bianchi cosmological models in $f(R, T)$ modified theories of gravity with $\Lambda (T)$ has been considered. This paper deals with $f(R, T)$ modified theories of gravity, where the gravitational Lagrangian is given by an arbitrary function of Ricci scalar $R$ and the trace of the stress-energy tensor $T$ has been investigated for a specific choice of $f (R,T )$ = $f_{1}(R) + f_{2}(T)$. The exact solutions to the corresponding field equations are obtained in quadrature form. We have discussed three types of solutions of the average scale factor for the general class of Bianchi cosmological models by using a special law for deceleration parameter which is linear in time with a negative slope. The solutions to the Einstein field equations are obtained for three differentphysical viable cosmologies. All physical parameters are calculated and discussed in each model.

R CHAUBEY¹ A K SHUKLA¹

1. DST-Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi 221 005, India

Published

16 April 2017

Manuscript received

29 August 2014

Manuscript revised

23 April 2016

Accepted

16 December 2016

Early published

Unedited version published online

Final version published online

15 March 2017