Area spectrum of near-extremal SdS black holes via the new interpretation of quasinormal modes

TL;DR

This paper explores the quantization of near-extremal Schwarzschild-de Sitter black holes using a new interpretation of quasinormal modes, deriving a universal, equally spaced area spectrum.

Contribution

It introduces a novel approach to black hole area quantization based on Maggiore's interpretation of quasinormal modes, differing from previous results.

Findings

Derived a universal area spectrum of 2πn for near-extremal SdS black holes

Established an equally spaced area spectrum using a new interpretation of quasinormal modes

Provided a different quantization result from prior studies

Abstract

Motivated by the recent work about a new physical interpretation of quasinormal modes by Maggiore, we investigate the quantization of near-extremal Schwarzschild-de Sitter black holes in the four dimensional spacetime. Following Kunstatter's method, we derive the area and entropy spectrum of near-extremal Schwarzschild-de Sitter black holes which differs from Setare's result. Furthermore, we find that the derived a universal area spectrum is $2\pi n$ which is equally spaced.