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LRS Bianchi-I transit universe with periodic varying $q$ in $f (R, T)$ gravity

Vinod Kumar Bhardwaj

http://orcid.org/0000-0003-2413-5789

Department of Mathematics, GLA University, Mathura-281406, India

E-mail Address: dr.vinodbhardwaj@gmail.com

Corresponding author.

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and

Manoj Kumar Rana

Department of Physics, GLA University, Mathura-281406, India

E-mail Address: ranaphy@yahoo.com

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https://doi.org/10.1142/S0219887819501950Cited by:15 (Source: Crossref)

Abstract

We have investigated the cosmic transit behavior of LRS Bianchi-I universe in modified $f (R, T)$ gravity theory whose functional form is taken as $f (R, T) = R + 2 f (t)$ , where $R$ is Ricci scalar and $T$ is the energy–momentum tensor. Subjecting the deceleration parameter $q$ to periodic variations as $q = k cos (β t) - 1$ , where $k, β > 0$ , the oscillatory behavior of EoS parameter and violation of energy–momentum conservation in the wide range of parameters have been observed. Hubble parameter oscillates but remains positive which signify the alternate decelerating and accelerating expansion of universe with no singularity.

Keywords:

AMSC: 83C40, 83D05, 83F05, 85A04

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