English

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

High Energy Physics - Theory 2009-11-10 v2

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=dEω(E)I=\int {dE\over \omega(E)}, which EE is the energy of system and ω(E)\omega(E) is vibrational frequency, we leads to an equally spaced mass spectrum. The result for the area of event horizon is An=2πnmΛA_{n}=2\pi \sqrt{\frac{nm \hbar}{\Lambda}} which is not equally spaced, in contrast with area spectrum of black hole in higher dimension.

Keywords

Cite

@article{arxiv.hep-th/0311221,
  title  = {Non-Rotating BTZ Black Hole Area Spectrum from Quasi-normal Modes},
  author = {M. R. Setare},
  journal= {arXiv preprint arXiv:hep-th/0311221},
  year   = {2009}
}

Comments

7 pages, no figure, some refs added, clarifying comments added, no physics changed, version to appear in Class. Quant. Grav