Exact Quantum State of Collapse and Black Hole Radiation

TL;DR

This paper constructs an exact quantum state for collapsing dust clouds, revealing that quantum gravitational effects modify Hawking radiation, making its spectrum non-thermal, which challenges the classical thermal emission picture.

Contribution

It introduces a lattice-regularized quantum gravitational state for inhomogeneous dust collapse, providing new insights into quantum corrections to black hole radiation.

Findings

Quantum gravitational correction makes Hawking radiation spectrum non-thermal

Exact quantum state constructed for inhomogeneous dust collapse

Semiclassical approximation reproduces Hawking 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.