Effective state, Hawking radiation and quasi-normal modes for Kerr black holes

TL;DR

This paper explores the relationship between Hawking radiation and quasi-normal modes in Kerr black holes, proposing a quantum level interpretation and extending the concept of the black hole's effective state.

Contribution

It generalizes the connection between Hawking radiation and QNMs to Kerr black holes and introduces a quantum level perspective for their interpretation.

Findings

QNMs can be viewed as quantum levels in Kerr black holes

Hawking radiation spectrum relates to black hole quasi-normal modes

Extended the concept of the effective state to Kerr black holes

Abstract

The non-strictly continuous character of the Hawking radiation spectrum generates a natural correspondence between Hawking radiation and black hole (BH) quasi-normal modes (QNM). In this work, we generalize recent results on this important issue to the framework of Kerr BHs (KBH). We show that also for the KBH, QNMs can be naturally interpreted in terms of quantum levels. Thus, the emission or absorption of a particle is in turn interpreted in terms of a transition between two different levels. At the end of the paper, we also generalize some concepts concerning the "effective state" of a KBH.