Intermediate Asymptotics of the Kerr Quasinormal Spectrum

TL;DR

This paper derives an analytical expression for the quasinormal mode spectrum of near-extremal Kerr black holes, linking it to physical parameters like temperature and angular velocity, within an intermediate frequency regime.

Contribution

It provides the first analytical formula for Kerr black hole quasinormal modes in the intermediate asymptotic regime, connecting resonances to black hole thermodynamic properties.

Findings

Analytic expression for quasinormal modes in the intermediate regime.

Resonances expressed in terms of temperature and angular velocity.

Applicable to near-extremal Kerr black holes.

Abstract

We study analytically the quasinormal mode spectrum of near-extremal (rotating) Kerr black holes. We find an analytic expression for these black-hole resonances in terms of the black-hole physical parameters: its Bekenstein-Hawking temperature T_{BH} and its horizon's angular velocity \Omega, which is valid in the intermediate asymptotic regime 1<<\omega<<1/T_{BH}.