Hawking Radiation-Quasi-Normal Modes Correspondence and Effective States for Nonextremal Reissner-Nordström Black Holes

Abstract EN

It is known that the nonstrictly thermal character of the Hawking radiation spectrum harmonizes Hawking radiation with black hole (BH) quasi-normal modes (QNM).

This paramount issue has been recently analyzed in the framework of both Schwarzschild BHs (SBH) and Kerr BHs (KBH).

In this assignment, we generalize the analysis to the framework of nonextremal Reissner-Nordström BHs (RNBH).

Such a generalization is important because in both Schwarzschild and Kerr BHs an absorbed (emitted) particle has only mass.

Instead, in RNBH the particle has charge as well as mass.

In doing so, we expose that, for the RNBH, QNMs can be naturally interpreted in terms of quantum levels for both particle emission and absorption.

Conjointly, we generalize some concepts concerning the RNBH's “effective states.”