Quantum properties of topological black holes
Mar, 199827 pages
Published in:
- Phys.Rev.D 58 (1998) 104025
e-Print:
- gr-qc/9803061 [gr-qc]
Report number:
- UTF-412
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Abstract: (arXiv)
We examine quantum properties of topological black holes which are asymptotically anti--de Sitter. First, massless scalar fields and Weyl spinors which propagate in the background of an anti--de Sitter black hole are considered in an exactly soluble two--dimensional toy model. The Boulware--, Unruh--, and Hartle--Hawking vacua are defined. The latter results to coincide with the Unruh vacuum due to the boundary conditions necessary in asymptotically adS spacetimes. We show that the Hartle--Hawking vacuum represents a thermal equilibrium state with the temperature found in the Euclidean formulation. The renormalized stress tensor for this quantum state is well--defined everywhere, for any genus and for all solutions which do not have an inner Cauchy horizon, whereas in this last case it diverges on the inner horizon. The four--dimensional case is finally considered, the equilibrium states are discussed and a luminosity formula for the black hole of any genus is obtained. Since spacelike infinity in anti--de Sitter space acts like a mirror, it is pointed out how this would imply information loss in gravitational collapse. The black hole's mass spectrum according to Bekenstein's view is discussed and compared to that provided by string theory.- black hole: topological
- space-time: anti-de Sitter
- field theory: scalar
- massless
- dimension: 2
- spinor: Weyl
- vacuum state
- tensor: energy-momentum
- thermodynamics
- space-time: horizon
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