Semiclassical Collapse of a Sphere of Dust and Hawking Radiation

Details Semiclassical Collapse of a Sphere of Dust and Hawking Radiation Semiclassical Collapse of a Sphere of Dust and Hawking Radiation

1996-11-26

arxiv.org/abs/gr-qc/9611062v1

Nucl.Phys.Proc.Suppl. 57 (1997) 177-180

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 4 pages, talk given at the "Second conference on constrained dynamics and quantum gravity", Santa Margherita Ligure, It

Scientific paper

10.1016/S0920-5632(97)00367-8

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.

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