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Black hole evaporation in a thermalized final-state projection model

AuthorsFabbri, Alessandro ; Pérez Cañellas, Armando
Keywords[PACS] Quantum aspects of black holes, evaporation, thermodynamics
[PACS] Quantum information
Issue Date12-Mar-2007
PublisherAmerican Physical Society
CitationPhysical Review D 75: 064009 (2007)
AbstractWe propose a modified version of the Horowitz-Maldacena final-state boundary condition based upon a matter-radiation thermalization hypothesis on the Black Hole interior, which translates into a particular entangled state with thermal Schmidt coefficients. We investigate the consequences of this proposal for matter entering the horizon, as described by a Canonical density matrix characterized by the matter temperature T. The emitted radiation is explicitly calculated and is shown to follow a thermal spectrum with an effective temperature T-eff. We analyze the evaporation process in the quasistatic approximation, highlighting important differences in the late stages with respect to the usual semiclassical evolution, and calculate the fidelity of the emitted Hawking radiation relative to the infalling matter.
Description4 pages, 1 figure.-- PACS nrs.: 04.70.Dy; 03.67.-a.-- ISI Article Identifier: 000245333600044.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-th/0611152
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevD.75.064009
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