Entropy Conservation in the Transition of Schwarzschild-de Sitter space to de Sitter space through tunneling

TL;DR

This paper analyzes the tunneling process in Schwarzschild-de Sitter space, demonstrating entropy conservation and correlations that shed light on the entropy of empty de Sitter space.

Contribution

It introduces a non-thermal tunneling rate in Schwarzschild-de Sitter space and shows how entropy conservation and correlations explain the entropy in de Sitter space.

Findings

Tunneling rate is non-thermal and related to entropy change.

Entropy is conserved during the transition from Schwarzschild-de Sitter to de Sitter space.

Correlations ensure total entropy conservation in the process.

Abstract

We revisit the Parikh-Wilczek tunneling through the de Sitter horizon and obtain the tunneling rate in Schwarzschild-de Sitter space, which is non-thermal and closely related to the change of entropy. We discuss the thermodynamics of Schwarzschild-de Sitter space and show existence of correlation which ensured the conservation of the total entropy in the transition process of Schwarzschild-de Sitter space to de Sitter space. The correlation and the conserved entropy enlighten a way to explain the entropy in empty de Sitter space.