Dynamical conditions and causal transport of dissipative spherical collapse in $f(R,T)$ gravity

TL;DR

This paper explores the dynamics of non-adiabatic spherical gravitational collapse within $f(R,T)$ gravity, incorporating anisotropic fluids with dissipation, and analyzes the effects using causal transport equations to understand astrophysical implications.

Contribution

It introduces a detailed analysis of dissipative collapse in $f(R,T)$ gravity, coupling dynamical equations with causal transport theory for the first time.

Findings

Enhanced understanding of collapse dynamics in modified gravity

Connection between dissipative processes and astrophysical phenomena

Analysis in Newtonian and post-Newtonian regimes

Abstract

In this paper, we have investigated the non-adiabatic spherical gravitational collapse in the framework of the $f(R,T)$ theory of gravity with a locally anisotropic fluid that undergoes dissipation in the form of heat flux, free-streaming radiation, and shearing viscosity. The dynamical equations are analyzed in detail, both in the Newtonian and post-Newtonian regimes. Finally we couple the dynamical equations to the full causal transport equation in the context of Israel-Stewart theory of dissipative systems. This yields us a better understanding of the collapse dynamics and may be connected to various astrophysical consequences.