On the Stability of Einstein Universe in f(R,T,R_{\mu\nu}T^{\mu\nu}) Gravity

TL;DR

This paper explores the stability of the Einstein universe within a modified gravity framework, analyzing how different parameters influence its stability under linear perturbations.

Contribution

It introduces a stability analysis of the Einstein universe in $f(R,T,Q)$ gravity, considering both conserved and non-conserved energy-momentum tensors.

Findings

Stable regions depend on parameter choices.

Graphical analysis identifies conditions for stability.

Stability varies with the equation of state parameter.

Abstract

This paper investigates the existence and stability of Einstein universe in the context of $f(R,T,Q)$ gravity, where $Q=R_{\mu\nu}T^{\mu\nu}$. Considering linear homogeneous perturbations around scale factor and energy density, we formulate static as well as perturbed field equations. We parameterize the stability regions corresponding to conserved as well as non-conserved energy-momentum tensor using linear equation of state parameter for particular models of this gravity. The graphical analysis concludes that for a suitable choice of parameters, the stable regions of the Einstein universe are obtained.