Area Spectrum of Extremal Reissner-Nordstr\"om Black Holes from Quasi-normal Modes

TL;DR

This paper derives the quantized area spectrum of extremal Reissner-Nordström black holes using their quasi-normal mode frequencies, revealing equally spaced area and entropy spectra with differences from Schwarzschild black holes.

Contribution

It introduces a method to compute the area spectrum of extremal Reissner-Nordström black holes via quasi-normal modes, highlighting their unique spectral spacing.

Findings

Area and entropy spectra are equally spaced.

The area spectrum spacing differs from Schwarzschild black holes.

Quasi-normal modes can be used to derive black hole area quantization.

Abstract

Using the quasi-normal modes frequency of extremal Reissner-Nordstr\"om black holes, we obtain area spectrum for these type of black holes. We show that the area and entropy black hole horizon are equally spaced. Our results for the spacing of the area spectrum differ from that of schwarzschild black holes.