Spherical "Top-Hat" Collapse in a Modified Chaplygin Gas Dominated Universe

TL;DR

This paper investigates the growth of structures in a universe dominated by a modified Chaplygin gas using a spherical Top-Hat model, analyzing collapse dynamics and comparing with observational data.

Contribution

It introduces a modified Chaplygin gas model into the spherical Top-Hat collapse framework, exploring stability, collapse times, and turn-around redshifts.

Findings

Collapse times align with observational data

Model stability varies with parameters

Turn-around redshifts are consistent with current observations

Abstract

Considering perturbation growth in spherical Top-Hat model of structure formation in a generalized Chaplygin gas dominated universe, we want to study this scenario with a modified Chaplygin gas model. The evolution of background and collapsed region parameters are found for different cases. The stability of the model and the collapse time rate are considered in different cases. The turn-around redshifts are also computed; the results are in relatively good agreement with current observational data.