Small localized black holes in a braneworld: Formulation and numerical method

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dc.creatorKudoh, Hideaki
dc.creatorTanaka, Takahiro
dc.creatorNakamura, Takashi
dc.date2003-01-22
dc.date2003-07-27
dc.date.accessioned2026-07-07T10:48:12Z
dc.date.available2026-07-07T10:48:12Z
dc.descriptionNo realistic black holes localized on a 3-brane in the Randall-Sundrum infinite braneworld have been found so far. The problem of finding a static black hole solution is reduced to a boundary value problem. We solve it by means of a numerical method, and show numerical examples of a localized black hole whose horizon radius is small compared to the bulk curvature scale. The sequence of small localized black holes exhibits a smooth transition from a five-dimensional Schwarzschild black hole, which is a solution in the limit of small horizon radius. The localized black hole tends to flatten as its horizon radius increases. However, it becomes difficult to find black hole solutions as its horizon radius increases.
dc.descriptionRevTeX, 13 pages, 6 figures, references corrected, typos corrected; to appear in Phys.Rev.D
dc.identifierhttps://arxiv.org/abs/gr-qc/0301089
dc.identifierhttp://arxiv.org/abs/gr-qc/0301089
dc.identifierPhys.Rev.D68:024035,2003
dc.identifierdoi:10.1103/PhysRevD.68.024035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183794
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleSmall localized black holes in a braneworld: Formulation and numerical method
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