# A modification to the mirror trajectory corresponding to shell collapse

## TL;DR

This paper introduces a modified mirror trajectory for black hole shell collapse that produces finite energy and thermal radiation, addressing the infinite energy issue in the traditional model.

## Contribution

It proposes a new BHC mirror trajectory with a variable final velocity, resulting in finite energy emission and thermal radiation, improving upon previous models.

## Key findings

- Produces finite energy emission
- Generates thermal radiation
- Recovers original model as velocity approaches light speed

## Abstract

The well-known moving mirror trajectory corresponding to black hole shell collapse scenario (BHC) appears to produce an infinite amount of energy. By changing the final velocity of the BHC mirror from the speed of light to a free variable $\xi$ a new mirror trajectory was found. This modified BHC mirror produces finite energy and emits thermal radiation. In the limit of $\xi \to c$ the BHC mirror is restored. In this thesis, the energy and particle production of the modified BHC mirror, as well as the correlations in its radiation, are presented.