Stability Analysis of Stellar Radiating Filaments

TL;DR

This paper investigates the stability of anisotropic, radiating cylindrical stellar models within a modified gravity framework, highlighting how extra curvature terms and heat radiation influence their stability.

Contribution

It introduces a stability analysis of cylindrical collapsing models in $f(R,T,R_{ u} T^{ u})$ gravity, emphasizing the effects of curvature and dissipation.

Findings

Extra curvature terms enhance stability.

Heat radiation promotes instability.

Adiabatic index significantly affects stability.

Abstract

The aim of this paper is to perform stability analysis of anisotropic dissipative cylindrical collapsing model in $f(R,T,R_{\mu\nu} T^{\mu\nu})$ gravity. In this context, the modified version of hydrodynamical equation is explored by means of dynamical equations and radial perturbation scheme. We examined the role of adiabatic index, dissipation as well as the particular cosmological model on the onset of dynamical instability of the evolving cylindrical system that was initially in hydrostatic equilibrium with Newtonian and post Newtonian approximations. It is pointed out that extra curvature terms of $f(R,T,R_{\mu\nu}T^{\mu\mu\nu})$ gravity tends to increase the stability, while that heat radiations push the system to enter into unstable window. Further, our results reveal the significance of adiabatic index in the stability analysis of cylindrical celestial model.