Small black holes on branes: Is the horizon regular or singular?
- Department of Physics, University of Cincinnati, Cincinnati, Ohio (United States)
We investigate the following question: Consider a small mass, with {epsilon} (the ratio of the Schwarzschild radius and the bulk curvature length) much smaller than 1, that is confined to the TeV brane in the Randall-Sundrum I scenario. Does it form a black hole with a regular horizon, or a naked singularity? The metric is expanded in {epsilon} and the asymptotic form of the metric is given by the weak field approximation (linear in the mass). In first order of {epsilon} we show that the iteration of the weak field solution, which includes only integer powers of the mass, leads to a solution that has a singular horizon. We find a solution with a regular horizon but its asymptotic expansion in the mass also contains half integer powers.
- OSTI ID:
- 20705229
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 70, Issue 6; Other Information: DOI: 10.1103/PhysRevD.70.064007; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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