Quantum Gravitational Collapse and Hawking Radiation in 2+1 Dimensions

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dc.creatorVaz, Cenalo
dc.creatorGutti, Sashideep
dc.creatorKiefer, Claus
dc.creatorSingh, T. P.
dc.date2007-10-11
dc.date.accessioned2026-07-07T11:12:07Z
dc.date.available2026-07-07T11:12:07Z
dc.descriptionWe develop the canonical theory of gravitational collapse in 2+1 dimensions with a negative cosmological constant and obtain exact solutions of the Wheeler--DeWitt equation regularized on a lattice. We employ these solutions to derive the Hawking radiation from black holes formed in all models of dust collapse. We obtain an (approximate) Planck spectrum near the horizon characterized by the Hawking temperature $T_{\mathrm H}=\hbar\sqrt{GΛM}/2π$, where $M$ is the mass of a black hole that is presumed to form at the center of the collapsing matter cloud and $-Λ$ is the cosmological constant. Our solutions to the Wheeler-DeWitt equation are exact, so we are able to reliably compute the greybody factors that result from going beyond the near horizon region.
dc.description27 pages, no figures
dc.identifierhttps://arxiv.org/abs/0710.2164
dc.identifierhttp://arxiv.org/abs/0710.2164
dc.identifierPhys.Rev.D76:124021,2007
dc.identifierdoi:10.1103/PhysRevD.76.124021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191278
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum Gravitational Collapse and Hawking Radiation in 2+1 Dimensions
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