Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

# Nonsingular phantom cosmology in Five Dimensional f(R,T) Gravity

Version 1 : Received: 6 August 2022 / Approved: 8 August 2022 / Online: 8 August 2022 (08:11:41 CEST)

How to cite: Sahoo, R.R.; Mahanta, K.L.; Ray, S. Nonsingular phantom cosmology in Five Dimensional f(R,T) Gravity. Preprints 2022, 2022080136 (doi: 10.20944/preprints202208.0136.v1). Sahoo, R.R.; Mahanta, K.L.; Ray, S. Nonsingular phantom cosmology in Five Dimensional f(R,T) Gravity. Preprints 2022, 2022080136 (doi: 10.20944/preprints202208.0136.v1).

## Abstract

We obtain exact solutions to the field equations for 5 dimensional LRS Bianchi type-I spacetime in $f(R,T)$ theory of gravity where specifically the following three cases are considered: (i) $f(R,T)=\mu(R+T)$, (ii) $f(R,T)=R \mu + R T \mu^2$ and (iii) $f(R,T)=R+\mu R^2+\mu T$ where $R$ and $T$ respectively the Ricci scalar and trace of the energy-momentum tensor. It is found that the equation of state (EOS) parameter $w$ is governed by the parameter $\mu$ involved in the $f(R,T)$ expressions. We fine-tune the parameter $\mu$ to obtain effect of phantom energy in the model, however we also restrict this parameter to obtain a stable model of the universe. It is noted that the model isotropizes at finite cosmic time.

## Keywords

Phantom energy; LRS Bianchi type-I; $f(R,T)$ theory; $5d$ spacetimes

## Subject

PHYSICAL SCIENCES, Astronomy & Astrophysics

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