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arXiv · 0706.1555

High and Low Dimensions in The Black Hole Negative Mode

Vadim Asnin·Dan Gorbonos·Shahar Hadar·Barak Kol·Michele Levi·Umpei Miyamoto
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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 space-time dimension 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. 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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Vadim Asnin, Dan Gorbonos, Shahar Hadar, Barak Kol, Michele Levi, Umpei Miyamoto. 2007-11-01. High and Low Dimensions in The Black Hole Negative Mode. https://doi.org/10.1088/0264-9381%2F24%2F22%2F015

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