Kerr black hole quasinormal frequencies

TL;DR

This paper compares numerical quasinormal mode frequencies of Kerr black holes with an exact formula inspired by quantum principles, finding close agreement and discussing implications for quantum black hole area spectra.

Contribution

It provides evidence supporting a specific formula for Kerr black hole QNM frequencies, linking classical oscillations with quantum gravity concepts.

Findings

Close match between numerical and exact QNM frequencies

Supports the connection between QNM spectrum and quantum black hole area quantization

Implications for understanding quantum aspects of black holes

Abstract

Black-hole quasinormal modes (QNM) have been the subject of much recent attention, with the hope that these oscillation frequencies may shed some light on the elusive theory of quantum gravity. We compare numerical results for the QNM spectrum of the (rotating) Kerr black hole with an {\it exact} formula Re$\omega \to T_{BH}\ln 3+\Omega m$, which is based on Bohr's correspondence principle. We find a close agreement between the two. Possible implications of this result to the area spectrum of quantum black holes are discussed.