Quadratic Curvature Correction and Its Breakdown to Thermodynamics of Rotating Black Holes

TL;DR

This paper investigates how quadratic curvature corrections affect the thermodynamics of rotating black holes, revealing potential divergences that are likely artifacts of perturbation methods rather than fundamental issues.

Contribution

It provides a universal formula to identify divergences in quadratic curvature corrections to black hole thermodynamics, highlighting their perturbative nature.

Findings

Divergences occur at certain rotation parameters in perturbative analysis.

A universal formula predicts where divergences may arise.

Divergences are likely artifacts, not present in full nonlinear theory.

Abstract

We adopt the Reall-Santos method to obtain the quadratic curvature corrections to the thermodynamics of Myers-Perry rotating black holes in diverse dimensions. We consider the corrections in canonical and grand canonical ensembles, and also for fixed mass and angular momenta. We find that there exist inevitable divergences for generic rotation parameters so that the perturbative approach breaks down. We present a simple and universal formula to determine where these divergences could arise, and argue, using an explicit example, that these divergences are artefact of perturbation and may not exist in the full nonlinear theory.