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

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

2003-01-22

arxiv.org/abs/gr-qc/0301089v3

Phys.Rev.D68:024035,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX, 13 pages, 6 figures, references corrected, typos corrected; to appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.68.024035

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.

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