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$f (R, T)$ gravity; hypersurface-homogeneous Universe; perfect fluid.

The exact solutions of the field equations with respect to hypersurface-homogeneous Universe filled with perfect fluid in the framework of $f (R, T)$ theory of gravity (Harko et al, \emph{Phys. Rev.} D 84, 024020 (2011)) is derived. The physical behaviour of the cosmological model is studied.

A Y SHAIKH¹ S D KATORE²

1. Department of Mathematics, Indira Gandhi Mahavidyalaya, Ralegaon 445 402, India
2. Department of Mathematics, S.G.B. Amravati University, Amravati 444 602, India

Published

16 December 2016

Manuscript received

21 September 2015

Manuscript revised

5 February 2016

Accepted

7 March 2016

Early published

2 November 2016