Dissipative Cylindrical Collapse of a Charged Anisotropic Fluid in $f(R)$ Gravity

TL;DR

This study explores how charged, anisotropic fluids dissipate energy during cylindrical gravitational collapse within $f(R)$ gravity, revealing the influence of various physical parameters on stability and connecting to general relativity in certain limits.

Contribution

It introduces a perturbation-based analysis of cylindrical collapse in $f(R)$ gravity with viscous, charged, anisotropic fluids, extending previous models to include dissipation and modified gravity effects.

Findings

Dynamic instability depends on field strength, density, pressure, and curvature.

Results reduce to general relativity in Newtonian and post-Newtonian limits.

The model highlights the role of $f(R)$ modifications in collapse behavior.

Abstract

This paper is devoted to investigate the cylindrical collapse of an anisotropic fluid in $f(R)$ gravity. For this purpose, the viscous charged anisotropic fluid dissipating energy with heat flow and shear is assumed. We use the perturbation scheme to develop the dynamical equations for the variables that ultimately lead to the disturbance of the physical variables and the Starobinksy like $f(R)$ model chosen. The evolution of the matter variables is discussed with the help of these equations. It can be concluded that the range of dynamic instabilities depends on the field strength, density distribution, pressure and the curvature term of the $f(R)$ model. We find that our results of Newtonian and post-Newtonian regimes reduce asymptotically to general relativity solutions in the limiting case.