An exploration of the black hole entropy in Gauss-Bonnet gravity via the Weyl tensor

TL;DR

This paper investigates the concept of gravitational entropy derived from the Weyl tensor within 5-dimensional Gauss-Bonnet gravity, extending previous work beyond general relativity to explore entropy in modified gravity theories.

Contribution

It introduces and analyzes a Weyl tensor-based entropy density in 5D Gauss-Bonnet gravity, a novel extension beyond traditional general relativity.

Findings

Proposes a specific entropy density formulation in Gauss-Bonnet gravity.

Examines the properties and implications of this entropy in higher-dimensional theories.

Provides groundwork for further exploration of gravitational entropy in modified gravity.

Abstract

Penrose suggested that issues with the origin of the second law of thermodynamics and the remarkable homogeneous and isotropic nature of the universe on large scales can be resolved with a concept of an entropy for gravitational fields captured by the Weyl curvature tensor. This has led to various proposals for an entropy density for gravity constructed from the Weyl tensor. Most work investigating such entropy densities have been restricted to general relativity and little work has been done to them in modified theories of gravity. To remedy this, we investigate the simplest proposal for an entropy density in 5-dimensional Gauss-Bonnet gravity.