A Spacetime Foam Approach to the Schwarzschild-de Sitter Entropy

TL;DR

This paper explores black hole entropy in de Sitter space using a spacetime foam model composed of multiple wormholes, providing insights into the quantum structure of horizons and extending to extreme horizon cases.

Contribution

It introduces a spacetime foam model with multiple wormholes to compute black hole entropy in de Sitter space, including the extremal horizon case.

Findings

Entropy computed using a wormhole-based spacetime foam model.

Extension to the extremal black hole and cosmological horizon case.

Insights into quantum horizon structure in de Sitter space.

Abstract

The entropy for a black hole in a de Sitter space is approached within the framework of spacetime foam. A simple model, made by $N$ wormholes in a semiclassical approximation, is taken under examination to compute the entropy for such a case. An extension to the extreme case when the black hole and cosmological horizons are equal is discussed.