On the Stability of Anti-de Sitter Spacetime

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dc.creatorNayeri, Ali
dc.creatorTran, Tuan
dc.date2004-12-27
dc.date.accessioned2026-07-07T04:17:54Z
dc.date.available2026-07-07T04:17:54Z
dc.descriptionWe present a detailed analysis for the classical stability of a four dimensional Anti-de Sitter spacetime (AdS$_4$) by decomposing the first-order perturbations of a spherical symmetric gravitational field into the so called tensor harmonics which transform as irreducible representative of the rotation group (Regge-Wheeler decomposition). It is shown that there is no nontrivial stationary perturbation for the angular momentum $l < 2$. The stability analysis forces the frequency of the gravitational modes to be constrained in a way that the frequency of scalar modes are constrained.
dc.description13 pages, no figure
dc.identifierhttps://arxiv.org/abs/hep-th/0412304
dc.identifierhttp://arxiv.org/abs/hep-th/0412304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52951
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.titleOn the Stability of Anti-de Sitter Spacetime
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