Roberto Casadio and Giovanni Venturi 1996 Class. Quantum Grav. 13 2715 doi:10.1088/0264-9381/13/10/011
Semiclassical collapse of a sphere of dust
Roberto Casadio and Giovanni Venturi
Show affiliationsThe semiclassical collapse of a homogeneous sphere of dust is studied. After identifying the independent dynamical variables, the system is canonically quantized 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.
- PACS
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04.60.Ds Canonical quantization
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
- MSC
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83C45 Quantization of the gravitational field
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
- Subjects
- Dates
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Issue 10 (October 1996)
Received 18 December 1995, in final form 11 June 1996
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Semiclassical collapse of a sphere of dust
Roberto Casadio and Giovanni Venturi 1996 Class. Quantum Grav. 13 2715
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