Extremal vacuum black holes in higher dimensions

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dc.creatorFigueras, Pau
dc.creatorKunduri, Hari K
dc.creatorLucietti, James
dc.creatorRangamani, Mukund
dc.date2008-03-20
dc.date2008-09-25
dc.date.accessioned2026-07-07T11:49:15Z
dc.date.available2026-07-07T11:49:15Z
dc.descriptionWe consider extremal black hole solutions to the vacuum Einstein equations in dimensions greater than five. We prove that the near-horizon geometry of any such black hole must possess an SO(2,1) symmetry in a special case where one has an enhanced rotational symmetry group. We construct examples of vacuum near-horizon geometries using the extremal Myers-Perry black holes and boosted Myers-Perry strings. The latter lead to near-horizon geometries of black ring topology, which in odd spacetime dimensions have the correct number rotational symmetries to describe an asymptotically flat black object. We argue that a subset of these correspond to the near-horizon limit of asymptotically flat extremal black rings. Using this identification we provide a conjecture for the exact ``phase diagram'' of extremal vacuum black rings with a connected horizon in odd spacetime dimensions greater than five.
dc.description53 pages, latex, 19 eps figures. v2: added refs + one eps figure. v3: published version
dc.identifierhttps://arxiv.org/abs/0803.2998
dc.identifierhttp://arxiv.org/abs/0803.2998
dc.identifierPhys.Rev.D78:044042,2008
dc.identifierdoi:10.1103/PhysRevD.78.044042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203168
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleExtremal vacuum black holes in higher dimensions
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