Spherical Top-Hat Collapse of Viscous Modified Chaplygin Gas in Einstein's Gravity and Loop Quantum Cosmology

TL;DR

This paper investigates the nonlinear collapse of viscous modified Chaplygin gas in spherical symmetry within Einstein's gravity and loop quantum cosmology, analyzing perturbation evolution through numerical and graphical methods.

Contribution

It introduces a detailed analysis of viscous modified Chaplygin gas collapse in both Einstein's gravity and LQC, highlighting the effects of viscosity and quantum corrections on perturbation dynamics.

Findings

Viscous effects influence the collapse dynamics.

Quantum corrections modify the evolution of perturbations.

The equation of state parameter and sound speed are characterized during collapse.

Abstract

In this work, we focus on the collapse of a spherically symmetric perturbation, with a classical top-hat profile, to study the nonlinear evolution of only viscous modified Chaplygin gas (VMCG) perturbations in Einstein's gravity as well as in loop quantum Cosmology (LQC). In the perturbed region, we have investigated the natures of equation of state parameter, square speed of sound and another perturbed quantities. The results have been analyzed by numerical and graphical investigations.