Area Spectrum of a Rotating Charged Black Hole Solution of Heterotic String Theory

TL;DR

This paper investigates the quantization of the horizon area of a rotating charged black hole in heterotic string theory using a method based on black hole periodicity, confirming an equally spaced spectrum consistent with previous results.

Contribution

It introduces a novel approach to area quantization that does not require small angular momentum assumptions, extending previous methods to string theory black holes.

Findings

Area spectrum is equally spaced and matches previous results for Schwarzschild and Kerr black holes.

The method confirms the spectrum using the period of outgoing waves related to vibrational frequencies.

No small angular momentum approximation is needed in this approach.

Abstract

The recent proposal of Maggiore that the periodicity of a black hole may be the origin of area quantization law is analyzed in the context of black holes in string theory. We use the period of motion of an outgoing wave, which is shown to be related to the vibrational frequency of the perturbed black hole, to quantize the horizon areas of a Sen black hole. It is shown that the equally spaced area spectrum takes the same form as the obtained by Zeng et. al. for Schwarzschild and Kerr black holes and the spacing is the same as that obtained through the quasinormal mode frequencies. In order to obtain this result, we do not need to use the small angular momentum assumption which is necessary in the quasinormal mode approach.