Hawking radiation from AdS black holes
May, 200013 pages
Published in:
- Phys.Rev.D 64 (2001) 044006
e-Print:
- gr-qc/0005115 [gr-qc]
Report number:
- HIP-2000-25-TH
Citations per year
Abstract: (arXiv)
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.- radiation: Hawking
- black hole: anti-de Sitter
- any-dimensional
- optics: geometrical
- Bogolyubov transformation
- vacuum state
- tunneling
- back reaction
- particle: production
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