Quantum Mechanical Spectra of Charged Black Holes

TL;DR

This paper extends previous analyses of black hole horizon area spectra to charged black holes, demonstrating that their quantum spectra are discrete, uniformly spaced, and that the ground state remains a Planck size remnant.

Contribution

It generalizes the equivalence between two quantum black hole models from neutral to charged black holes, showing consistent discrete spectra and remnants.

Findings

Quantum spectra of charged black holes are discrete and uniformly spaced.

The ground state of charged black holes is a Planck size remnant.

The equivalence between different quantization approaches holds for charged black holes.

Abstract

It has been argued by several authors, using different formalisms, that the quantum mechanical spectrum of black hole horizon area is discrete and uniformly spaced. Recently it was shown that two such approaches, namely the one involving quantisation on a reduced phase space, and the algebraic approach of Bekenstein and Gour are equivalent for spherically symmetric, neutral black holes (hep-th/0202076). The observables of one can be mapped to those of the other. Here we extend that analysis to include charged black holes. Once again, we find that the ground state of the black hole is a Planck size remnant.