High and low dimensions in the black hole negative mode

Type of Publication: Journal article
Publication status: Published
Author: Asnin, Vadim; Gorbonos, Dan; Hadar, Shahar; Kol, Barak; Levi, Michele; Miyamoto, Umpei
Year of publication: 2007
Published in: Classical and Quantum Gravity ; 24 (2007), 22. - pp. 5527-5540. - Institute of Physics Publishing (IOP). - ISSN 0264-9381. - eISSN 1361-6382
DOI (citable link): https://dx.doi.org/10.1088/0264-9381/24/22/015
Summary:
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 spacetime dimension λ = λ(d) 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. By joining the two expansions, we obtain an interpolating rational function accurate to better than 2% through the whole range of dimensions including d = 4.
Subject (DDC): 570 Biosciences, Biology
Refereed: Yes

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ASNIN, Vadim, Dan GORBONOS, Shahar HADAR, Barak KOL, Michele LEVI, Umpei MIYAMOTO, 2007. High and low dimensions in the black hole negative mode. In: Classical and Quantum Gravity. Institute of Physics Publishing (IOP). 24(22), pp. 5527-5540. ISSN 0264-9381. eISSN 1361-6382. Available under: doi: 10.1088/0264-9381/24/22/015

@article{Asnin2007-11-21dimen-51510, title={High and low dimensions in the black hole negative mode}, year={2007}, doi={10.1088/0264-9381/24/22/015}, number={22}, volume={24}, issn={0264-9381}, journal={Classical and Quantum Gravity}, pages={5527--5540}, author={Asnin, Vadim and Gorbonos, Dan and Hadar, Shahar and Kol, Barak and Levi, Michele and Miyamoto, Umpei} }

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