Covariant entropy bound beyond general relativity

Abstract

We propose a covariant entropy bound in gravitational theories beyond general relativity (GR), using Wald-Jacobson-Myers entropy instead of Bekenstein-Hawking entropy. We first extend the proof of the bound known in 4-dimensional GR to D-dimensional GR, f(R) gravity and canonical scalar-tensor theory. We then consider Einstein-Gauss-Bonnet (EGB) gravity as a more non-trivial example and, under a set of reasonable assumptions, prove the bound in the GR branch of spherically symmetric configurations. As a corollary, it is shown that under the null and dominant energy conditions, the generalized second law holds in the GR branch of spherically symmetric configurations of EGB gravity at the fully nonlinear level.

11 pages

References in corpus (4)

• Relative entropy and the Bekenstein bound
• Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
• Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
• Dynamical black holes with symmetry in Einstein-Gauss-Bonnet gravity

Cited by in corpus (6)

• Dynamical black hole entropy beyond general relativity from the Einstein frame
• Apparent Horizons Associated with Dynamical Black Hole Entropy
• Generalized Covariant Entropy Bound in Lanczos-Lovelock Gravity
• Entanglement Entropy and Thermodynamics of Dynamical Black Holes
• Isentropic processes for axisymmetric Black Holes
• Nonperturbative Isentropic Processes in AdS Black Holes with Nonlinear Electrodynamics