Area spectrum of rotating black holes via the new interpretation of quasinormal modes

TL;DR

This paper applies Maggiore's new interpretation of quasinormal modes to Kerr black holes, deriving a quantized horizon area that aligns with Bekenstein's result but suggests an uneven area spectrum.

Contribution

It introduces a novel interpretation of quasinormal mode frequencies for Kerr black holes, leading to a new quantization of the horizon area.

Findings

Horizon area quantization matches Bekenstein's result.

The derived area spectrum is similar to quantum-corrected Kerr black holes.

The spectrum is not equally spaced.

Abstract

Motivated by the recent work on a new physical interpretation of quasinormal modes by Maggiore, we utilize this new proposal to the interesting case of Kerr black hole. In particular, by modifying Hod's idea, the resulting black hole horizon area is quantized and the resulting area quantum is in full agreement with Bekenstein's result. Furthermore, in an attempt to show that the area spectrum is equally spaced, we follow Kunstatter's method. We propose a new interpretation as a result of Maggiore's idea, for the frequency that appears in the adiabatic invariant of a black hole. The derived area spectrum is similar to that of the quantum-corrected Kerr black hole but it is not equally spaced.