High and low dimensions in the black hole negative mode

Vadim Asnin; Dan Gorbonos; Shahar Hadar; Barak Kol; Michele Levi; Umpei Miyamoto

doi:10.1088/0264-9381/24/22/015

High and low dimensions in the black hole negative mode

Vadim Asnin^*, Dan Gorbonos, Shahar Hadar, Barak Kol, Michele Levi, Umpei Miyamoto

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

55 Scopus citations

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 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.

Original language	English
Pages (from-to)	5527-5540
Number of pages	14
Journal	Classical and Quantum Gravity
Volume	24
Issue number	22
DOIs	https://doi.org/10.1088/0264-9381/24/22/015
State	Published - 2007

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AU - Gorbonos, Dan

AU - Hadar, Shahar

AU - Kol, Barak

AU - Levi, Michele

AU - Miyamoto, Umpei

PY - 2007

Y1 - 2007

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AB - 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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JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 22

ER -

High and low dimensions in the black hole negative mode

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