(Un)attractor black holes in higher derivative AdS gravity

TL;DR

This paper explores five-dimensional black hole solutions in higher derivative AdS gravity, focusing on their thermodynamics, regularization, and the attractor mechanism, using holographic renormalization and numerical methods.

Contribution

It provides explicit boundary counterterms for regularizing the action and extends the attractor mechanism analysis to higher derivative AdS black holes.

Findings

Derived boundary counterterms for regularization.

Computed thermodynamical properties via holographic renormalization.

Constructed numerical extremal black hole solutions and analyzed attractor behavior.

Abstract

We investigate five-dimensional static (non-)extremal black hole solutions in higher derivative Anti-de Sitter gravity theories with neutral scalars non-minimally coupled to gauge fields. We explicitly identify the boundary counterterms to regularize the gravitational action and the stress tensor. We illustrate these results by applying the method of holographic renormalization to computing thermodynamical properties in several concrete examples. We also construct numerical extremal black hole solutions and discuss the attractor mechanism by using the entropy function formalism.