Evidence for the adiabatic invariance of the black hole horizon area

TL;DR

This paper presents evidence supporting the idea that the horizon area of a near-equilibrium black hole remains nearly constant during slow changes, highlighting conditions for this adiabatic invariance.

Contribution

It provides examples and clarifies conditions under which the black hole horizon area acts as an adiabatic invariant.

Findings

Horizon area remains nearly constant during slow, near-equilibrium processes

Conditions for adiabatic invariance are identified and discussed

Supports the conjecture of horizon area as an adiabatic invariant

Abstract

Some examples in support of the conjecture that the horizon area of a near equilibrium black hole is an adiabatic invariant are described. These clarify somewhat the conditions under which the conjecture would be true.