A proof of the generalized second law for rapidly-evolving Rindler horizons

TL;DR

This paper proves the generalized second law of thermodynamics for rapidly-changing Rindler horizons in semiclassical gravity, under specific symmetry conditions, extending the law's applicability to dynamic horizons.

Contribution

It provides a rigorous proof of the generalized second law for evolving Rindler horizons with arbitrary quantum fields, under boost and null translation symmetry.

Findings

Proof of the generalized second law for dynamic horizons

Applicability to arbitrary interacting quantum fields

Discussion of potential extensions to more general scenarios

Abstract

The generalized second law is proven for rapidly-evolving semiclassical Rindler horizons at each instant of time, for arbitrary interacting quantum fields minimally coupled to general relativity. The proof requires the background spacetime to have boost and null translation symmetry. Possible extensions to more general horizons and matter-gravity couplings are discussed.