On the semiclassical treatment of Hawking radiation

TL;DR

This paper demonstrates the universality of the reduced canonical momentum in semiclassical Hawking radiation for a massive shell in spherical gravity, and constructs regular modes on the horizon using different Hamiltonian approaches.

Contribution

It proves the universality of the reduced canonical momentum and constructs horizon-regular modes via different Hamiltonian boundary terms in semiclassical Hawking radiation.

Findings

Universality of the reduced canonical momentum established.

Modes regular on the horizon constructed in different Hamiltonian frameworks.

Self-reaction correction to the Hawking spectrum computed.

Abstract

In the context of the semiclassical treatment of Hawking radiation we prove the universality of the reduced canonical momentum for the system of a massive shell self gravitating in a spherical gravitational field within the Painlev\'e family of gauges. We show that one can construct modes which are regular on the horizon both by considering as hamiltonian the exterior boundary term and by using as hamiltonian the interior boundary term. The late time expansion is given in both approaches and their time Fourier expansion computed to reproduce the self reaction correction to the Hawking spectrum.