Greybody factor for the BTZ black hole and a 5D black hole

Abstract

We study the 5D black holes in the type IIB superstring theory compactified on $S^1\times T^4$. Far from horizon, we have flat space-time. Near horizon, we have $Ad{S}_3(BTZblackhole)\times S^3\times T^4$. We calculate the greybody factor of a minimally coupled scalar by replacing the original geometry($M_5\times S^1\times T^4$) by $Ad{S}_3\times S^3\times T^4$. In the low-energy scattering, it turns out that the result agrees with the greybody factor of the 5D black hole (or D1 + D5 branes)in the dilute gas approximation. This confirms that the $AdS$-theory($Ad{S}_3\times S^3\times T^4$) contains the essential information about the bulk 5D black holes.

some discussions are added, 15 Pages, No figure, RevTeX

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