Throat quantization of the Schwarzschild-Tangherlini(-AdS) Black Hole
Abstract
Adopting the throat quantization pioneered by Louko and M\"akel\"a, we derive the mass and area spectra for the Schwarzschild-Tangherlini black hole and its anti-de~Sitter (AdS) generalization in arbitrary dimensions. We obtain exact spectra in three special cases: the three-dimensional BTZ black hole, toroidal black holes in any dimension, and five-dimensional Schwarzshild-Tangherlini(-AdS) black holes. For the remaining cases the spectra are obtained for large mass using the WKB approximation. For asymptotically flat black holes, the area/entropy has an equally spaced spectrum, as expected from previous work. In the asymptotically AdS case on the other hand, it is the mass spectrum that is equally spaced. Our exact results for the BTZ black hole with Dirichlet and Neumann boundary conditions are consistent with the spacing of the spectra of the corresponding operators in the dual CFT.
Keywords
Cite
@article{arxiv.1311.4888,
title = {Throat quantization of the Schwarzschild-Tangherlini(-AdS) Black Hole},
author = {Gabor Kunstatter and Hideki Maeda},
journal= {arXiv preprint arXiv:1311.4888},
year = {2017}
}
Comments
39 pages, 3 figures, 2014 Class. Quantum Grav. 31 115009