The universal area spectrum in single-horizon black holes

TL;DR

This paper explores the highly damped quasinormal modes of single-horizon black holes, revealing a universal area spectrum consistent with Schwarzschild black holes, and discusses implications for loop quantum gravity.

Contribution

It demonstrates that the area spectrum of single-horizon black holes is universal and aligns with Schwarzschild black holes, regardless of charge or dilaton coupling, using WKB approximation.

Findings

Real part of quasinormal mode frequency approaches $T_H \, \ln 3$

Area spectrum matches Schwarzschild black hole spectrum

Results support universality in black hole quantum properties

Abstract

We investigate highly damped quasinormal mode of single-horizon black holes motivated by its relation to the loop quantum gravity. Using the WKB approximation, we show that the real part of the frequency approaches the value $T_{\rm H}\ln 3$ for dilatonic black hole as conjectured by Medved et al. and Padmanabhan. It is surprising since the area specrtum of the black hole determined by the Bohr's correspondence principle completely agrees with that of Schwarzschild black hole for any values of the electromagnetic charge or the dilaton coupling. We discuss its generality for single-horizon black holes and the meaning in the loop quantum gravity.