Evaporation of large black holes in AdS: greybody factor and decay rate

Abstract

We consider a massless, minimally coupled scalar field propagating through the geometry of a black 3-brane in an asymptotically $Ad{S}_5\times S^5$ space. The wave equation for modes traveling purely in the holographic direction reduces to a Heun equation and the corresponding greybody factor is obtained numerically. Approximations valid in the low- and high-frequency regimes are also obtained analytically. The greybody factor is then used to determine the rate of evaporation of these large black holes in the context of the evaporon model proposed in \cite{Rocha:2008fe}. This setting represents the evolution of a black hole under Hawking evaporation with a known CFT dual description and is therefore unitary. Information must then be preserved under this evaporation process.

20 pages, 2 figures; v2: added references, published version

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• Setting the boundary free in AdS/CFT
• Thermodynamics of the brane
• Greybody Factors for Brane Scalar Fields in a Rotating Black-Hole Background
• Evaporation of large black holes in AdS: coupling to the evaporon
• Bulk emission of scalars by a rotating black hole
• Small AdS black holes from SYM
• Validity of Emparan-Horowitz-Myers argument in Hawking radiation into massless spin-2 fields

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