Semiclassical Collapse of a Sphere of Dust and Hawking Radiation
arXiv:gr-qc/9611062 · doi:10.1016/S0920-5632(97)00367-8
Abstract
The independent dynamical variables of a collapsing homogeneous sphere of dust are canonically quantised and coupled equations describing matter (dust) and gravitation are obtained. The conditions for the validity of the adiabatic (Born-Oppenheimer) and semiclassical approximations are derived. On neglecting back-reaction effects, it is also shown that in the vicinity of the horizon and inside the dust the Wightman function for a conformal scalar field coupled to a monopole emitter is thermal at the characteristic Hawking temperature.
LaTeX, 4 pages, talk given at the "Second conference on constrained dynamics and quantum gravity", Santa Margherita Ligure, Italy, 17-21 September 1996. To appear in the proceedings