2007/10/11 by Cenalo Vaz, Sashideep Gutti, Claus Kiefer +1 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.76.124021
published as Phys.Rev.D76:124021,2007 · 27 pages, no figures
arxiv created 2007/10/11 · openalex publication_date 2007/12/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We 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 TH=\ensuremathℏ√G\ensuremathΛM/2\ensuremathπ, where M is the mass of a black hole that is presumed to form at the center of the collapsing matter cloud and \ensuremath-\ensuremathΛ is the cosmological constant. Our solutions to the Wheeler-DeWitt equation are exact, so we are able to reliably compute the gray-body factors that result from going beyond the near-horizon region.