Area spectra of near extremal black holes

TL;DR

This paper explores the quantization of black hole areas, demonstrating that near extremal Schwarzschild de Sitter and Reissner-Nordstrom de Sitter black holes have equally spaced area spectra, independent of their parameters.

Contribution

It introduces a method based on Maggiore's interpretation of quasinormal modes to derive area spectra for near extremal black holes, showing their universal equal spacing.

Findings

Area spectra are equally spaced for the studied black holes.

Spectra are independent of black hole parameters.

Supports the universality of black hole area quantization.

Abstract

Motivated by Maggiore's new interpretation of quasinormal modes, starting from the first law of thermodynamics of black holes, we investigate area spectra of a near extremal Schwarzschild de sitter black hole and a higher dimensional near extremal Reissner-Nordstrom de sitter black hole. We show that the area spectra of all these black holes are equally spaced and irrelevant to the parameters of black holes.