High and Low Dimensions in The Black Hole Negative Mode

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dc.creatorAsnin, Vadim
dc.creatorGorbonos, Dan
dc.creatorHadar, Shahar
dc.creatorKol, Barak
dc.creatorLevi, Michele
dc.creatorMiyamoto, Umpei
dc.date2007-06-12
dc.date2007-11-01
dc.date.accessioned2026-07-07T11:16:47Z
dc.date.available2026-07-07T11:16:47Z
dc.descriptionThe 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.
dc.description17 pages, 4 figures. v2: added reference. v3: published version
dc.identifierhttps://arxiv.org/abs/0706.1555
dc.identifierhttp://arxiv.org/abs/0706.1555
dc.identifierClass.Quant.Grav.24:5527-5540,2007
dc.identifierdoi:10.1088/0264-9381/24/22/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192791
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleHigh and Low Dimensions in The Black Hole Negative Mode
dc.typetext

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