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Semiclassical Collapse of a Sphere of Dust and Hawking Radiation

Roberto Casadio
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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.

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Roberto Casadio. 1996-11-26. Semiclassical Collapse of a Sphere of Dust and Hawking Radiation. https://doi.org/10.1016/s0920-5632(97)00367-8

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