A study of gravitational collapse with decaying of the vacuum energy

TL;DR

This paper investigates the gravitational collapse of a dust dark matter star within a Lambda background, analyzing scenarios with and without vacuum energy decay into dark particles, and compares collapse dynamics with scalar perturbation theory.

Contribution

It introduces a model for gravitational collapse considering decaying vacuum energy and compares collapse outcomes with linear scalar perturbation theory.

Findings

Black hole formation occurs in both scenarios.

Decaying vacuum energy influences collapse dynamics.

Comparison shows similarities and differences with perturbation theory.

Abstract

We study the gravitational collapse of a dust dark matter star in a $\Lambda$-background. We consider two distinct cases: First we do not have a dark matter and dark energy coupling; second, we consider that $\Lambda $ decay in dark particles. The approach adopted assumes a modified matter expansion rate and we have formation of a black hole, since that, we have the formation of an apparent horizon. A brief comparison of the process of the matter condensation using the gravitational collapse approach and the linear scalar perturbation theory is considered.