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Small Black Holes on Branes: Is the horizon regular or singular ?

D. Karasik·C. Sahabandu·P. Suranyi·L. C. R. Wijewardhana
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Abstract

We investigate the following question: Consider a small mass, with $ε$ (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 $ε$ and the asymptotic form of the metric is given by the weak field approximation (linear in the mass). In first order of $ε$ 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.

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D. Karasik, C. Sahabandu, P. Suranyi, L. C. R. Wijewardhana. 2004-07-23. Small Black Holes on Branes: Is the horizon regular or singular ?. https://doi.org/10.1103/physrevd.70.064007

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