Quantum gravity effects in Myers-Perry space-times

TL;DR

This paper investigates quantum gravity effects on Myers-Perry black holes, revealing that quantum corrections influence horizon structure, eliminate ultra-spinning solutions, and introduce a smallest black hole mass, with implications for black hole thermodynamics.

Contribution

It demonstrates how quantum effects from asymptotic safety modify higher-dimensional black hole properties, including horizon structure and thermodynamics, extending classical results.

Findings

Quantum effects lift black hole degeneracy.

Existence of a smallest black hole mass in any dimension.

Ultra-spinning solutions are no longer possible.

Abstract

We study quantum gravity effects for Myers-Perry black holes assuming that the leading contributions arise from the renormalization group evolution of Newton's coupling. Provided that gravity weakens following the asymptotic safety conjecture, we find that quantum effects lift a degeneracy of higher-dimensional black holes, and dominate over kinematical ones induced by rotation, particularly for small black hole mass, large angular momentum, and higher space-time dimensionality. Quantum-corrected space-times display inner and outer horizons, and show the existence of a black hole of smallest mass in any dimension. Ultra-spinning solutions no longer persist. Thermodynamic properties including temperature, specific heat, the Komar integrals, and aspects of black hole mechanics are studied as well. Observing a softening of the ring singularity, we also discuss the validity of classical energy conditions.