Semiclassical collapse of a sphere of dust
General Relativity and Quantum Cosmology
2009-10-28 v2 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.gr-qc/9512032,
title = {Semiclassical collapse of a sphere of dust},
author = {Roberto Casadio and Giovanni Venturi},
journal= {arXiv preprint arXiv:gr-qc/9512032},
year = {2009}
}
Comments
LaTeX, 25 pages, no figures, final version accepted for publication in Class. and Quantum Grav