Evaporating Black Holes and Entropy

TL;DR

This paper investigates Hawking radiation and entanglement entropy in evaporating black holes within 1+1 and 3+1 dimensions, utilizing Bogoliubov coefficients and recent entropy estimates to understand black hole evaporation.

Contribution

It applies Srednicki's entanglement entropy results to black hole evaporation in both 1+1 and 3+1 dimensions, providing new insights into entropy calculations.

Findings

Srednicki's 1D entropy result is applicable to black hole evaporation.

Computed Bogoliubov coefficients and stress tensor for evaporating black holes.

Estimated entanglement entropy during black hole evaporation.

Abstract

We study the Hawking radiation for the geometry of an evaporating 1+1 dimensional black hole. We compute Bogoliubov coefficients and the stress tensor. We use a recent result of Srednicki to estimate the entropy of entanglement produced in the evaporation process, for the 1+1 dimensional hole and for the 3+1 dimensional hole. It is found that the one space dimensional result of Srednicki is the pertinent one to use, in both cases.