Hawking Radiation from AdS Black Holes

Details Hawking Radiation from AdS Black Holes Hawking Radiation from AdS Black Holes

2000-05-25

arxiv.org/abs/gr-qc/0005115v2

Phys.Rev.D64:044006,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, latex2e, v2: some clarifications and references added

Scientific paper

10.1103/PhysRevD.64.044006

We investigate Hawking radiation from black holes in (d+1)-dimensional anti-de Sitter space. We focus on s-waves, make use of the geometrical optics approximation, and follow three approaches to analyze the radiation. First, we compute a Bogoliubov transformation between Kruskal and asymptotic coordinates and compare the different vacua. Second, following a method due to Kraus, Parikh, and Wilczek, we view Hawking radiation as a tunneling process across the horizon and compute the tunneling probablility. This approach uses an anti-de Sitter version of a metric originally introduced by Painleve for Schwarzschild black holes. From the tunneling probability one also finds a leading correction to the semi-classical emission rate arising from the backreaction to the background geometry. Finally, we consider a spherically symmetric collapse geometry and the Bogoliubov transformation between the initial vacuum state and the vacuum of an asymptotic observer.

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