Analysis of F(R,T) Gravity Models Through Energy Conditions

TL;DR

This paper investigates energy conditions in F(R,T) gravity models within a cosmological context, deriving bounds on model parameters and analyzing specific models like F(R,T)=μR+νT for their physical viability.

Contribution

It introduces a comprehensive analysis of energy conditions in F(R,T) gravity and explores parameter bounds for model viability, extending previous studies in modified gravity theories.

Findings

F(R,T)=μR+νT model satisfies energy conditions for various parameters.

Derived bounds on model parameters to meet energy condition inequalities.

Presented plots using current cosmological parameter values.

Abstract

This paper is devoted to study the energy conditions in F(R,T) gravity for FRW universe with perfect fluid, where $R$ is the Ricci scalar and $T$ is the torsion scalar. We construct the general energy conditions in this theory and reduce them in F(R) as well as F(T) theory of gravity. Further, we assume some viable models and investigate bounds on their constant parameters to satisfy the energy condition inequalities. We also plot some of the cases using present-day values of the cosmological parameters. It is interesting to mention here that the model F(R,T)=\mu R+ \nu T satisfies the energy conditions for different ranges of the parameters.