Near-Extreme Black Holes and the Universal Relaxation Bound

TL;DR

This paper demonstrates analytically that near-extreme black holes saturate a universal relaxation bound, linking black hole physics with fundamental thermodynamic limits and providing insights into their relaxation dynamics.

Contribution

It analytically proves that extremal and large-m black holes reach the fundamental relaxation time bound, connecting black hole properties with universal thermodynamic principles.

Findings

Black holes saturate the relaxation bound in the extremal limit.

The relaxation time bound is linked to black hole temperature and angular momentum.

Analytical demonstration of the bound's saturation in specific black hole regimes.

Abstract

A fundamental bound on the relaxation time \tau of a perturbed thermodynamical system has recently been derived, \tau \geq \hbar/\pi T, where $T$ is the system's temperature. We demonstrate analytically that black holes saturate this bound in the extremal limit and for large values of the azimuthal number m of the perturbation field.