High and Low Dimensions in The Black Hole Negative Mode
High Energy Physics - Theory
2008-11-26 v3 General Relativity and Quantum Cosmology
Abstract
The negative mode of the Schwarzschild black hole is central to Euclidean quantum gravity around hot flat space and for the Gregory-Laflamme black string instability. We analyze the eigenvalue as a function of space-time dimension by constructing two perturbative expansions: one for large d and the other for small d-3, and determining as many coefficients as we are able to compute analytically. Joining the two expansions we obtain an interpolating rational function accurate to better than 2% through the whole range of dimensions including d=4.
Keywords
Cite
@article{arxiv.0706.1555,
title = {High and Low Dimensions in The Black Hole Negative Mode},
author = {Vadim Asnin and Dan Gorbonos and Shahar Hadar and Barak Kol and Michele Levi and Umpei Miyamoto},
journal= {arXiv preprint arXiv:0706.1555},
year = {2008}
}
Comments
17 pages, 4 figures. v2: added reference. v3: published version