Cavity Evolution and Instability Constraints of Relativistic Interiors

TL;DR

This paper investigates the dynamical instability of a cylindrical self-gravitating object within $f(R,T)$ gravity, highlighting how modified gravity influences stability and the role of dark source terms.

Contribution

It analyzes the instability constraints of relativistic interiors in $f(R,T)$ gravity using linear perturbations and explores the effects of dark source terms on stability.

Findings

Dark source terms induce instability in the system.

Instability regimes are characterized in Newtonian and post-Newtonian limits.

Modified gravity influences the dynamical stability of cylindrical objects.

Abstract

In this manuscript, we have identified the dynamical instability constraints of a self-gravitating cylindrical object within the framework of $f(R,T)$ theory of gravity. We have explored the modified field equations and corresponding dynamical equations for the systematic constructions of our analysis. We have imposed the linear perturbations on metric and material variables with some known static profile up to first order in the perturbation parameter. The role of expansion scalar is also examined in this scenario. The instability regimes have been discussed in the background of Newtonian and post-Newtonian limits. We found that the dark source terms due to the influence of modification in the gravity model is responsible for the instability of the system.