Gravitational instabilities in Kerr space-times

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dc.creatorDotti, Gustavo
dc.creatorGleiser, Reinaldo J.
dc.creatorRanea-Sandoval, Ignacio Francisco
dc.creatorVucetich, Héctor
dc.date2008-05-28
dc.date2008-09-05
dc.date.accessioned2026-07-07T12:14:36Z
dc.date.available2026-07-07T12:14:36Z
dc.descriptionIn this paper we consider the possible existence of unstable axisymmetric modes in Kerr space times, resulting from exponentially growing solutions of the Teukolsky equation. We describe a transformation that casts the radial equation that results upon separation of variables in the Teukolsky equation, in the form of a Schrödinger equation, and combine the properties of the solutions of this equations with some recent results on the asymptotic behaviour of spin weighted spheroidal harmonics to prove the existence of an infinite family of unstable modes. Thus we prove that the stationary region beyond a Kerr black hole inner horizon is unstable under gravitational linear perturbations. We also prove that Kerr space-time with angular momentum larger than its square mass, which has a naked singularity, is unstable.
dc.description9 pages, 4 figures, comments, references and calculation details added, asymptotic expansion typos fixed
dc.identifierhttps://arxiv.org/abs/0805.4306
dc.identifierhttp://arxiv.org/abs/0805.4306
dc.identifierClass.Quant.Grav.25:245012,2008
dc.identifierdoi:10.1088/0264-9381/25/24/245012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211245
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGravitational instabilities in Kerr space-times
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