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Non-Rotating BTZ Black Hole Area Spectrum from Quasi-normal Modes

M. R. Setare
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Abstract

In this paper, by using the quasi-normal frequencies for non-rotating BTZ black hole derived by Cardos and Lemos, also via Bohr-Sommerfeld quantization for an adiabatic invariant, $I=\int {dE\over ω(E)}$, which $E$ is the energy of system and $ω(E)$ is vibrational frequency, we leads to an equally spaced mass spectrum. The result for the area of event horizon is $A_{n}=2π\sqrt{\frac{nm \hbar}Λ}$ which is not equally spaced, in contrast with area spectrum of black hole in higher dimension.

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M. R. Setare. 2004-01-17. Non-Rotating BTZ Black Hole Area Spectrum from Quasi-normal Modes. https://doi.org/10.1088/0264-9381%2F21%2F6%2F012

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