Periodicity and area spectrum of black holes

Abstract

The recent speculation of Maggiore that the periodicity of a black hole may be the origin of the area quantization law is confirmed. We exclusively utilize 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 Schwarzschild black hole and a Kerr black hole. It is shown that the equally spaced area spectrum for both cases takes the same form and the spacing is the same as that obtained through the quasinormal mode frequencies. Particularly, for a Kerr black hole, the small angular momentum assumption, which is necessary from the perspective of quasinormal mode, is not employed as the general area spacing is reproduced.

arXiv comment5 pages, 0 figures, minor modifications to the text (results unchanged)

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Cited by in corpus (6)

• Thermodynamics and Spectroscopy of Schwarzschild black hole surrounded by Quintessence
• Quasinormal mode and spectroscopy of a Schwarzschild black hole surrounded by a cloud of strings in Rastall gravity
• Landauer's principle and black hole area quantization
• Quantization of horizon area of Kerr-Newman-de Sitter black hole
• Thermodynamics and Spectroscopy of charged Dilaton black holes
• Entropy Spectrum of a Carged Black Hole of Heterotic String Theory via Adiabatic Invariance