A quantitative version of Hawking radiation
Analysis of PDEs
2015-10-09 v1 Mathematical Physics
math.MP
Abstract
We present a proof of the existence of the Hawking radiation for massive bosons in the Schwarzchild-de Sitter metric. It provides estimates for the rates of decay of the initial quantum state to the Hawking thermal state. The arguments in the proof include a construction of radiation fields by conformal scattering theory; a semiclassical interpretation of the blueshift effect; and the use of a WKB parametrix near the surface of a collapsing star. The proof does not rely on the spherical symmetry of the spacetime.
Cite
@article{arxiv.1510.02398,
title = {A quantitative version of Hawking radiation},
author = {Alexis Drouot},
journal= {arXiv preprint arXiv:1510.02398},
year = {2015}
}
Comments
47 pages