Thermodynamics and Entanglement Entropy with Weyl Corrections

TL;DR

This paper investigates the effects of Weyl corrections on charged black holes in AdS space, analyzing their thermodynamics and holographic entanglement entropy to understand quantum gravity implications.

Contribution

It provides the first perturbative solution including back-reaction effects of Weyl corrections on charged AdS black holes and compares thermodynamic and entanglement entropy results.

Findings

Weyl corrections modify black hole thermodynamics

Holographic entanglement entropy is consistent with thermodynamic results

First-order perturbative solutions with back-reaction are obtained

Abstract

We consider charged black holes in four dimensional AdS space, in the presence of a Weyl correction. We obtain the solution including the effect of back-reaction, perturbatively up to first order in the Weyl coupling, and study its thermodynamic properties. This is complemented by a calculation of the holographic entanglement entropy of the boundary theory. The consistency of results obtained from both computations is established.