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

TL;DR

This paper calculates the greybody factor and evaporation rate of large black holes in AdS space, providing insights into black hole evaporation and information preservation in a holographic context.

Contribution

It numerically and analytically determines the greybody factor for scalar fields in AdS black hole backgrounds, linking it to black hole evaporation rates in a unitary holographic framework.

Findings

Greybody factor computed numerically and analytically in different regimes.

Evaporation rate derived from the greybody factor in the AdS context.

Supports unitarity and information preservation during black hole evaporation.

Abstract

We consider a massless, minimally coupled scalar field propagating through the geometry of a black 3-brane in an asymptotically $AdS_5 \times S^5$ 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.