Slow relaxation of rapidly rotating black holes

dc.creatorHod, Shahar
dc.date2008-11-24
dc.date.accessioned2026-07-07T12:16:05Z
dc.date.available2026-07-07T12:16:05Z
dc.descriptionWe study analytically the relaxation phase of perturbed, rapidly rotating black holes. In particular, we derive a simple formula for the fundamental quasinormal resonances of near-extremal Kerr black holes. The formula is expressed in terms of the black-hole physical parameters: omega=m Omega-i2 pi T(n+1/2), where T and Omega are the temperature and angular velocity of the black hole, and m is the azimuthal harmonic index of a co-rotating equatorial mode. This formula implies that the relaxation period tau sim 1/Im(omega) of the black hole becomes extremely long as the extremal limit T to 0 is approached. The analytically derived formula is shown to agree with direct numerical computations of the black-hole resonances. We use our results to demonstrate analytically the fact that near-extremal Kerr black holes saturate the recently proposed universal relaxation bound.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0811.3806
dc.identifierhttp://arxiv.org/abs/0811.3806
dc.identifierPhys.Rev.D78:084035,2008
dc.identifierdoi:10.1103/PhysRevD.78.084035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211690
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleSlow relaxation of rapidly rotating black holes
dc.typetext

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