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

Research output: Contribution to journalArticlepeer-review

55 Scopus citations


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 languageAmerican English
Pages (from-to)5527-5540
Number of pages14
JournalClassical and Quantum Gravity
Issue number22
StatePublished - 2007


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