Effects of f(R) Dark Energy on Dissipative Anisotropic Collapsing Fluid

TL;DR

This paper investigates how dark energy modeled by f(R) gravity influences the dynamics of anisotropic, dissipative collapsing fluids, revealing effects on mass and collapse rate but not on equilibrium.

Contribution

It introduces a detailed analysis of dark energy effects on anisotropic, dissipative collapse within f(R) gravity, including new solutions for shear-free evolution.

Findings

Dark energy affects the mass of collapsing matter.

Dark energy influences the rate of collapse.

Hydrostatic equilibrium remains unaffected by dark energy.

Abstract

The purpose of this paper is to study the effects of dark energy on dynamics of the collapsing fluid within the framework of metric f(R) gravity. The fluid distribution is assumed to be locally anisotropic and undergoing dissipation in the form of heat flow, null radiations and shear viscosity. For this purpose, we take general spherical symmetric spacetime. Dynamical equations are obtained and also some special solutions are found by considering shearing expansionfree evolution of the fluid. It is found that dark energy affects the mass of the collapsing matter and rate of collapse but does not affect the hydrostatic equilibrium.