Entropy of Vaidya Black Hole on Apparent Horizon with Minimal length Revisited

TL;DR

This paper investigates how the generalized uncertainty principle affects the entropy of Vaidya black holes at the apparent horizon, revealing a natural cutoff and conditions for the area law to hold, linked to minimal length.

Contribution

It introduces a natural cutoff in entropy calculation using the GUP and explores conditions under which the area law is satisfied for Vaidya black holes.

Findings

A natural cutoff emerges without arbitrary assumptions.

The area law is recovered for specific minimal length values.

Insights into the role of minimal length in black hole entropy.

Abstract

By considering the generalized uncertainty principle, the degrees of freedom near the apparent horizon of Vaidya black hole are calculated with thin film model. The result shows that a cut-off can be introduced naturally rather than taking by hand. Furthermore, if the minimal length is chosen to be a specific value, the statistical entropy will satisfy the conventional area law at the horizon, which might reveal some deep things of the minimal length.