caa a22 4500 445386231 CHVBK 20180317143033.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10714-011-1240-4 doi (NATIONALLICENCE)springer-10.1007/s10714-011-1240-4 Canonical quantization of spherically symmetric dust collapse [Elektronische Daten] [Cenalo Vaz, Louis Witten] Quantum gravity effects are likely to play a crucial role in determining the outcome of gravitational collapse during its final stages. In this contribution we will outline a canonical quantization of the LeMaitre-Tolman-Bondi (LTB) models, which describe the collapse of spherical, inhomogeneous, non-rotating dust. Although there are many models of gravitational collapse, this particular class of models stands out for its simplicity and the fact that both black holes and naked singularity end states may be realized on the classical level, depending on the initial conditions. We will obtain the appropriate Wheeler-DeWitt equation and then solve it exactly, after regularization on a spatial lattice. The solutions describe Hawking radiation and provide an elegant microcanonical description of black hole entropy, but they raise other questions, most importantly concerning the nature of gravity's fundamental degrees of freedom. Springer Science+Business Media, LLC, 2011 Gravitational collapse nationallicence Quantum gravity nationallicence Black hole thermodynamics nationallicence Vaz Cenalo RWC, University of Cincinnati, 45221-0011, Cincinnati, OH, USA aut Witten Louis Department of Physics, University of Cincinnati, 45221-0011, Cincinnati, OH, USA aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/12(2011-12-01), 3429-3449 0001-7701 43:12<3429 2011 43 10714 https://doi.org/10.1007/s10714-011-1240-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1240-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Vaz Cenalo RWC, University of Cincinnati, 45221-0011, Cincinnati, OH, USA aut NATIONALLICENCE 700 1- Witten Louis Department of Physics, University of Cincinnati, 45221-0011, Cincinnati, OH, USA aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/12(2011-12-01), 3429-3449 0001-7701 43:12<3429 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer