Rigidity theorems in the braneworld model

dc.creatorKodama, Hideo
dc.date2002-05-01
dc.date.accessioned2026-07-07T11:08:39Z
dc.date.available2026-07-07T11:08:39Z
dc.descriptionIn the present paper, we give some theorems representing ridigity of a vacuum brane in static bulk spacetimes. As an application, we show that a static bulk spacetime with dimension D>3 and spatial symmetry IO(D-2), O(D-1) or O_+(D-2,1) does not allow a vacuum brane with a black hole on it. We also show that if a static bulk spacetime with dimension D>4 satsifying the vacuum Einstein equations can be foliated by a continuous family of vacuum branes with asymptotically constant curvature, it is a black string solution.
dc.description7 pages in LaTeX with the PTP style. No figure. To be published in the proceedings of the workshop "Braneworld -- Dynamics of spacetime with boundary --"
dc.identifierhttps://arxiv.org/abs/gr-qc/0205002
dc.identifierhttp://arxiv.org/abs/gr-qc/0205002
dc.identifierProg.Theor.Phys.Suppl.148:277-283,2003
dc.identifierdoi:10.1143/PTPS.148.277
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190203
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleRigidity theorems in the braneworld model
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