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Cosmological model with variable deceleration parameter in $f (R, T)$ modified gravity

Rishi Kumar Tiwari

http://orcid.org/0000-0002-5760-7757

Department of Mathematics, Pandit Shambunath Shukla University, Mpeb Colony, Shahdol, Madhya Pradesh 484001, India

E-mail Address: rishitiwari@rediffmail.com

Corresponding author.

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Aroonkumar Beesham

Department of Mathematical Sciences, University of Zululand, Kwa-Dlangezwa 3886, South Africa

E-mail Address: abeesham@yahoo.com

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Bhupendra Shukla

Department of Mathematics, Pandit Shambunath Shukla University, Mpeb Colony, Shahdol, Madhya Pradesh 484001, India

E-mail Address: bhupendrashukla121@gmail.com

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https://doi.org/10.1142/S0219887818501153Cited by:22 (Source: Crossref)

Abstract

A study is made of the LRS Bianchi type-I cosmological model in $f (R, T)$ modified gravity theory. Einstein’s field equations in $f (R, T)$ gravity are solved by taking $f (R, T) = R + 2 f (T)$ and the deceleration parameter $(q)$ to be a linear function of the Hubble parameter $(H)$ . The universe begins with an initial singular state and changes with time from an early deceleration phase to a late time acceleration phase. We have found that the jerk parameter $(j)$ in the model approaches that of the $Λ C D M$ model at late times. We also discuss the physical and geometrical properties of the model.

Keywords:

AMSC: 83D05, 83F05

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