Scale-invariant rotating black holes in quadratic gravity

TL;DR

This paper explores the thermodynamics of rotating black holes in quadratic gravity, extending previous work on static solutions and their scale-invariant properties, and establishing a framework for their entropy characterization.

Contribution

It generalizes the thermodynamic analysis from static to rotating black holes in quadratic gravity, demonstrating scale-invariant entropy for these solutions.

Findings

Rotating black holes in quadratic gravity have well-defined, scale-invariant entropy.

The thermodynamics laws for these black holes are consistent with scale invariance.

The results extend the understanding of black hole thermodynamics beyond static solutions.

Abstract

Black hole solutions in pure quadratic theories of gravity are interesting since they allow to formulate a set of scale-invariant thermodynamics laws. Recently, we have proven that static scale-invariant black holes have a well-defined entropy, which characterizes equivalent classes of solutions. In this paper, we generalize these results and explore the thermodynamics of rotating black holes in pure quadratic gravity.