Shearfree Condition and dynamical Instability in $f(R,T)$ gravity

TL;DR

This paper investigates how shearfree conditions influence the stability and collapse of anisotropic stars within $f(R,T)$ gravity, using perturbation methods to analyze the effects on the adiabatic index in different regimes.

Contribution

It introduces a specific $f(R,T)$ model to analyze the impact of shearfree conditions on dynamical instability in anisotropic stellar objects.

Findings

Shearfree condition affects the instability range of anisotropic stars.

The stability criterion depends on the chosen $f(R,T)$ model.

Collapse behavior varies between Newtonian and post-Newtonian regimes.

Abstract

The implications of shearfree condition on instability range of anisotropic fluid in $f(R,T)$ are studied in this manuscript. A viable $f(R, T)$ model is chosen to arrive at stability criterion, where $R$ is Ricci scalar and $T$ is the trace of energy momentum tensor. The evolution of spherical star is explored by employing perturbation scheme on modified field equations and contracted Bianchi identities in $f(R, T)$. The effect of imposed shearfree condition on collapse equation and adiabatic index $\Gamma$ is studied in Newtonian and post-Newtonian regimes.