2008/05/05 by Cenalo Vaz, Rakesh Tibrewala, T. P. Singh +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.78.024019
published as Phys.Rev.D78:024019,2008 · 20 pages
arxiv created 2008/05/05 · openalex publication_date 2008/07/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In a previous paper we studied the collapse of a spherically symmetric dust distribution (marginally bound Lemaitre-Tolman-Bondi) in d-dimensional anti--de Sitter spacetime and obtained the condition for the formation of trapped surfaces. Here we extend the analysis by giving the canonical theory for the same and subsequently quantize the system by solving the Wheeler-DeWitt equation. We show that for the case of small dust perturbations around a black hole the wave functionals so obtained describe a flux of dust particles from the region near the horizon with a thermal spectrum at the Hawking temperature and discuss the nontrivial dependence of this temperature on the number of spacetime dimensions and the cosmological constant.