Dissipative Viscous Cylindrical Collapse in $f(R)$ Gravity With Full Causal Approach

TL;DR

This paper investigates the effects of dissipative processes, including heat flux and viscosity, on cylindrical gravitational collapse within $f(R)$ gravity using a full causal thermodynamic approach, extending previous models.

Contribution

It introduces a comprehensive analysis of dissipative effects in cylindrical collapse in $f(R)$ gravity with full causal thermodynamics, which was not previously explored.

Findings

Viscous and heat radiation effects significantly influence collapse dynamics.

Full causal thermodynamics alters the evolution compared to non-causal models.

Results align with prior astrophysical findings when dissipation is neglected.

Abstract

The plan of this study is to inspect the effects of dynamics of dissipative gravitational collapse in cylindrical symmetric non-static spacetime by using Misner-Sharp concept in context of metric $f(R)$ theory of gravity. For more generic isotropic fluid distribution of cylindrical object by dissipative nature of dark source of the fluid due to energy matter tensor,the Misner-Sharp approach technique has been used to illustrate the heat flux with free radiating out flow, bulk and shear viscosity. Furthermore, dynamical equation have been associated with full casual heat transportation equations in framework of $M\ddot{u}ller$-Israel-Stewart formalism. The present study explain the effects of thermodynamics viscid/heat radiating coupling factors on gravitational collapse in $M\ddot{u}ller$-Israel-Stewart notion and matches with the consequences of prior astrophysicists by excluding such coefficients and viscosity variables.