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High and low dimensions in the black hole negative mode

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2007

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Asnin, Vadim
Hadar, Shahar
Kol, Barak
Levi, Michele
Miyamoto, Umpei

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https://doi.org/10.1088/0264-9381/24/22/015
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Classical and Quantum Gravity. Institute of Physics Publishing (IOP). 2007, 24(22), pp. 5527-5540. ISSN 0264-9381. eISSN 1361-6382. Available under: doi: 10.1088/0264-9381/24/22/015

Zusammenfassung

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.

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ISO 690ASNIN, 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). 2007, 24(22), pp. 5527-5540. ISSN 0264-9381. eISSN 1361-6382. Available under: doi: 10.1088/0264-9381/24/22/015
BibTex
@article{Asnin2007-11-21dimen-51510,
  year={2007},
  doi={10.1088/0264-9381/24/22/015},
  title={High and low dimensions in the black hole negative mode},
  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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