2003/01/31 by Hideaki Kudoh, Takahiro Tanaka, Takashi Nakamura · 6 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.68.024035
published as Phys.Rev.D68:024035,2003 · RevTeX, 13 pages, 6 figures, references corrected, typos corrected; to appear in Phys.Rev.D
arxiv created 2003/07/27 · openalex publication_date 2003/07/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
No 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.