Entropy spectrum of the apparent horizon of Vaidya black holes via adiabatic invariance

TL;DR

This paper investigates the entropy spectrum of Vaidya black hole horizons using adiabatic invariance, revealing that entropy and area quantization are universal features of horizons, linked to Hawking temperature.

Contribution

It demonstrates that horizon quantization applies to dynamical black holes and connects entropy spectrum to Hawking temperature, extending previous stationary black hole results.

Findings

Entropy spectrum is equally spaced, matching Bekenstein's prediction.

Quantization of entropy and area is a universal property of horizons.

Black hole quantization relates closely to Hawking temperature.

Abstract

The spectroscopy of the apparent horizon of Vaidya black holes is investigated via adiabatic invariance. We obtain an equally spaced entropy spectrum with its quantum equal to the one given by Bekenstein. We demonstrate that the quantization of entropy and area is a generic property of horizon, not only for stationary black holes, and the results also exit in a dynamical black hole. Our work also shows that the quantization of black hole is closely related to Hawking temperature, which is an interesting thing.