Schwarzschild-de Sitter black hole from entropic viewpoint

TL;DR

This paper explores the thermodynamics of Schwarzschild-de Sitter black holes using an entropic perspective, analyzing holographic screens and their associated entropy to understand black hole and cosmological horizon properties.

Contribution

It introduces a novel entropic approach to Schwarzschild-de Sitter spacetime by dividing it into thermodynamically independent regions using holographic screens and a reference point.

Findings

Entropy matches conventional results at horizons

Method applies in Nariai limit

Supports holographic thermodynamics in de Sitter space

Abstract

In a Schwarzschild-de Sitter space, we consider an equipotential surface which consists of two holographic screens. Adapting the Bousso-Hawking's reference point of vanishing force, we divide the space into two regions, which are from the reference point to each holographic screen. These two regions can be treated as independent thermodynamical systems, because the Bousso-Hawking reference point with zero temperature behaves like a thermally insulating wall. The entropy obtained in this way agrees with the conventional results; i) when the holographic screens lie at the black hole and cosmological horizons, ii) in the Nariai limit.