Exact Quantum State of Collapse and Black Hole Radiation

Abstract

We construct an exact quantum gravitational state describing the collapse of an inhomogeneous spherical dust cloud using a lattice regularization of the Wheeler-DeWitt equation. In the semiclassical approximation around a black hole, this state describes Hawking radiation. We show that the leading quantum gravitational correction to Hawking radiation renders the spectrum non-thermal.

6 pages, no figures, RevTeX4. Portions have been rewritten to clarify the contents. The results remain unchanged. Version to appear in Phys. Rev. D