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  High and low dimensions in the black hole negative mode

Asnin, V., Gorbonos, D., Hadar, S., Kol, B., Levi, M., & Miyamoto, U. (2007). High and low dimensions in the black hole negative mode. Classical and Quantum Gravity, 24(22), 5527-5540. doi:10.1088/0264-9381/24/22/015.

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Asnin, V., Author
Gorbonos, Dan1, Author              
Hadar, S., Author              
Kol, B., Author
Levi, M., Author
Miyamoto, U., Author
Affiliations:
1The Hebrew University, ou_persistent22              

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 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 spacetime dimension lambda = lambda(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.

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 Dates: 2007-10-30
 Publication Status: Published in print
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 Rev. Type: -
 Identifiers: Other: WOS:000251428400015
DOI: 10.1088/0264-9381/24/22/015
ISSN: 0264-9381
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 24 (22) Sequence Number: - Start / End Page: 5527 - 5540 Identifier: ISSN: 0264-9381
CoNE: https://pure.mpg.de/cone/journals/resource/954925513480_1