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

TL;DR

This paper calculates the greybody factor for 5D black holes in string theory, showing that near-horizon $AdS_3$ geometry captures essential information about the black hole's scattering properties.

Contribution

It demonstrates that the greybody factor of 5D black holes can be derived from the $AdS_3$ geometry, confirming the holographic correspondence in this context.

Findings

Greybody factor matches between 5D black hole and $AdS_3$ geometry in low-energy limit.

$AdS_3 imes S^3 imes T^4$ geometry encodes key information about bulk 5D black holes.

Results support the holographic principle linking near-horizon geometry to black hole properties.

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 $AdS_3(BTZ black hole) \times S^3 \times T^4$. We calculate the greybody factor of a minimally coupled scalar by replacing the original geometry($M_5 \times S^1 \times T^4$) by $AdS_3 \times S^3 \times T^4$. 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($AdS_3 \times S^3 \times T^4$) contains the essential information about the bulk 5D black holes.