Entropy spectrum of a Kerr anti-de Sitter black hole

TL;DR

This paper extends the quantization of black hole entropy and area to Kerr anti-de Sitter black holes using two methods, showing that the spectra are equally spaced, without relying on quasinormal modes.

Contribution

It introduces two novel methods to quantize the entropy and area spectra of rotating Kerr anti-de Sitter black holes, demonstrating their equally spaced nature.

Findings

Entropy and area spectra are equally spaced.

Quantization achieved via Bohr-Sommerfeld rule and wave function analysis.

Methods do not depend on quasinormal modes.

Abstract

The entropy spectrum of a spherically symmetric black hole was derived without the quasinormal modes in the work of Majhi and Vagenas. Extending this work to rotating black holes, we quantize the entropy and the horizon area of a Kerr anti-de Sitter black hole by two methods. The spectra of entropy and area are obtained via the Bohr-Sommerfeld quantization rule and the adiabatic invariance in the first way. By addressing the wave function of emitted (absorbed) particles, the entropy and the area are quantized in the second one. Both results show that the entropy and the area spectra are equally spaced.