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High and Low Dimensions in The Black Hole Negative Mode

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arxiv 0706.1555 v3 pith:34Y2YJBN submitted 2007-06-12 hep-th gr-qc

Vadim Asnin , Dan Gorbonos , Shahar Hadar , Barak Kol , Michele Levi , Umpei Miyamoto This is my paper · ORCID
classification hep-thgr-qc
keywords blackdimensionsexpansionsfunctionholemodenegativeable
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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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  1. Phases of String Stars in the Presence of a Spatial Circle

    hep-th 2025-01 conditional novelty 6.0 of 10

    String star phase diagrams on a spatial circle are computed: new d=2 solutions, a quartic-induced d=5 swallowtail, and an anomalous d=6 stability pattern.

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