2007/03/01 by C. Kiefer, Claus Kiefer, Jakob Müller-Hill +4 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black-body radiation #Cosmology and Gravitation Theories #Gravitation #Gravitational wave #Hawking radiation #Horizon #Mathematical physics #Physics #Planck #Planck length #Planck scale #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum gravity #Quantum mechanics #Radiation #Regularization (linguistics) #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.75.124010
published as Phys.Rev.D75:124010,2007 · 14 pages
arxiv created 2007/03/01 · openalex publication_date 2007/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In an earlier paper, we obtained exact solutions of the Wheeler-DeWitt equation for the Lema\\itre-Tolman-Bondi model of gravitational collapse, employing a lattice regularization. In this paper, we derive Hawking radiation in nonmarginally bound models from our exact solutions. We show that a nonvanishing energy function does not spoil the (approximate) Planck spectrum near the horizon. We can also reliably compute corrections to the Bogoliubov coefficient because our solutions are exact. The corrections are obtained by going beyond the near-horizon region and are shown to introduce additional greybody factors, which modify the blackbody spectrum of radiation from the black hole.