Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-04-02
Phys.Rev. D70 (2004) 064007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Accepted for publication in PRD
Scientific paper
10.1103/PhysRevD.70.064007
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.
Karasik David
Sahabandu Chetiya
Suranyi Peter
Wijewardhana L. C. R.
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