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  Hamiltonian evolution and quantization for extremal Black holes.

Kiefer, C., & Louko, J. (1999). Hamiltonian evolution and quantization for extremal Black holes. Annalen der Physik, 8(1), 67-81. doi:10.1002/(SICI)1521-3889(199901)8:1<67:AID-ANDP67>3.0.CO;2-6.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-616A-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-616B-8
Genre: Journal Article

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AnnPhy8-1999.pdf (Publisher version), 153KB
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Kiefer, Claus, Author
Louko, Jorma1, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24013              

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 Abstract: We present and contrast two distinct ways of including extremal black holes in a Lorentzian Hamiltonian quantization of spherically symmetric Einstein-Maxwell theory. First, we formulate the classical Hamiltonian dynamics with boundary conditions appropriate for extremal black holes only. The Hamiltonian contains no surface term at the internal infinity, for reasons related to the vanishing of the extremal hole surface gravity, and quantization yields a vanishing black hole entropy. Second, we give a Hamiltonian quantization that incorporates extremal black holes as a limiting case of nonextremal ones, and examine the classical limit in terms of wave packets. The spreading of the packets, even the ones centered about extremal black holes, is consistent with continuity of the entropy in the extremal limit, and thus with the Bekenstein-Hawking entropy even for the extremal holes. The discussion takes place throughout within Lorentz-signature spacetimes.

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 Dates: 1999
 Publication Status: Published in print
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Title: Annalen der Physik
Source Genre: Journal
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Pages: - Volume / Issue: 8 (1) Sequence Number: - Start / End Page: 67 - 81 Identifier: ISSN: 1521-3889