Proof of the Generalized Second Law for Quasistationary Semiclassical Black Holes
Valery P. Frolov, Don N. Page

TL;DR
This paper provides a straightforward proof of the generalized second law of thermodynamics applied to quasistationary semiclassical black holes, confirming the law's validity in this context.
Contribution
It offers the first explicit and simple proof of the generalized second law for quasistationary semiclassical black holes.
Findings
The generalized second law holds for quasistationary semiclassical black holes.
The proof is direct and explicit, simplifying previous approaches.
Supports the thermodynamic consistency of black hole physics.
Abstract
A simple direct explicit proof of the generalized second law of black hole thermodynamics is given for a quasistationary semiclassical black hole.
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