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ID: 206169.0, MPI für Gravitationsphysik / Astrophysical Relativity
Hamiltonian evolution and quantization for extremal Black holes.
Authors:Kiefer, Claus; Louko, Jorma
Date of Publication (YYYY-MM-DD):1999
Title of Journal:Annalen der Physik
Volume:8
Issue / Number:1
Start Page:67
End Page:81
Copyright:Jahrbuch 2000, Copyright MPG 2000
Review Status:not specified
Audience:Not Specified
Intended Educational Use:No
Abstract / Description: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.
External Publication Status:published
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
Identifiers:LOCALID:16422
ISSN:1521-3889
DOI:10.1002/(SICI)1521-3889(199901)8:1<67::AID-ANDP67>...
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