Small black holes on branes: Is the horizon regular or singular?

Journal Article · Wed Sep 15 04:00:00 EDT 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.064007· OSTI ID:20705229

Karasik, D; Sahabandu, C; Suranyi, P; Wijewardhana, L C.R. ^[1]

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1. 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, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 70; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
BLACK HOLES
COSMOLOGY
EXPANSION
MASS
SCHWARZSCHILD METRIC
SCHWARZSCHILD RADIUS
SINGULARITY
TEV RANGE
THERMODYNAMICS