Semiclassical collapse of a sphere of dust

Details Semiclassical collapse of a sphere of dust Semiclassical collapse of a sphere of dust

1995-12-18

arxiv.org/abs/gr-qc/9512032v2

Class.Quant.Grav. 13 (1996) 2715-2734

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 25 pages, no figures, final version accepted for publication in Class. and Quantum Grav

Scientific paper

10.1088/0264-9381/13/10/011

The semiclassical collapse of a homogeneous sphere of dust is studied. After identifying the independent dynamical variables, the system is 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. Further on neglecting back--reaction effects, it is 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.

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