Thermodynamics and holographic entanglement entropy for spherical black holes in 5D Gauss-Bonnet gravity

TL;DR

This paper investigates the thermodynamics and holographic entanglement entropy of 5D Gauss-Bonnet black holes, revealing phase transition behaviors and examining the validity of the equal area law in the context of holography.

Contribution

It provides a numerical study of holographic entanglement entropy in 5D Gauss-Bonnet black holes, highlighting the failure of the equal area law and confirming the first law of entanglement entropy.

Findings

Evidence for van der Waals-like phase transition in bulk black holes

Failure of equal area law on the temperature-HEE plane

Validation of the first law of entanglement entropy

Abstract

The holographic entanglement entropy is studied numerically in (4+1)-dimensional spherically symmetric Gauss-Bonnet AdS black hole spacetime with compact boundary. On the bulk side the black hole spacetime undergoes a van der Waals-like phase transition in the extended phase space, which is reviewed with emphasis on the behavior on the temperature-entropy plane. On the boundary, we calculated the regularized HEE of a disk region of different sizes. We find strong numerical evidence for the failure of equal area law for isobaric curves on the temperature-HEE plane and for the correctness of first law of entanglement entropy, and briefly give an explanation for why the latter may serve as a reason for the former, i.e. the failure of equal area law on the temperature-HEE plane.