Brane-world black holes in Randall-Sundrum models

초록

We study brane-world black holes in Randall-Sundrum(RS) models in (D + I)-dimensional anti-de Sitter spacetimes. The solutions are directly obtained by using a slightly generalized RS metric ansatz in D + 1 dimensions. The metric of the brane world can be described by the Schwarzschild solution promoted to the black cigar solution in D + I dimensions, which is compatible with the recently suggested black cigar solution in D = 4 dimensions. Furthermore, we show that the Ricci flat condition for the brane can be easily derived from the effective gravity defined on the brane by using the RS dimensional reduction. Especially, it is shown that in two dimensions, the effective gravity on the brane is described by the Polyakov action.

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