Black Hole in a Heat Bath

TL;DR

This paper proposes a model where a black hole's horizon is made of finite discrete parts, preventing the mass from diverging in finite time when in a heat bath.

Contribution

It introduces a discrete horizon model with fixed constituents, offering a solution to the black hole mass divergence problem in heat bath scenarios.

Findings

Black hole mass remains finite over time with the new model

Discrete horizon constituents alter energy eigenstate counting

Prevents finite-time singularity in black hole mass

Abstract

It was recently pointed out by Barrau, Martineau and Renevey that the mass of the Schwarzschild black hole immersed in a heat bath tends to infity in a finite time. We show that this singularity problem in the black hole mass may be avoided, if the stretched horizon of the black hole is constructed out of a fixed, finite number of discrete constituents, and an appropriate counting is applied to the energy eigenstates of the hole.