Time Evolution of Entropy of a Charged Domain Wall during Gravitational Collapse

TL;DR

This paper investigates how the entropy of a charged collapsing domain wall evolves over time from an asymptotic observer's perspective, revealing that it stabilizes at a value comparable to the Bekenstein-Hawking entropy during collapse.

Contribution

It provides a detailed analysis of the entropy evolution of a charged domain wall during gravitational collapse, linking it to black hole entropy concepts.

Findings

Entropy of the domain wall stabilizes at a constant value for large times.

The stabilized entropy is of the same order as the Bekenstein-Hawking entropy.

The study offers insights into the thermodynamics of charged gravitational collapse.

Abstract

We study the time evolution of the entropy of a collapsing charged spherical domain wall, from the point of view of an asymptotic observer, by investigating the entropy of the entire system (i.e. charged domain wall and radiation) and induced radiation alone during the collapse. By taking the difference, we find the entropy of the collapsing charged domain wall, since this is the object which will form a black hole. We find that for large values of time (times larger than $tf_-/R_+\approx8$), the entropy of the collapsing domain wall is a constant, which is of the same order as the Bekenstein-Hawking entropy.