On the semiclassical treatment of Hawking radiation

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 Painlevé 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.

18 pages, LaTeX, Corrected typos

References in corpus (4)

• Temporal contribution to gravitational WKB-like calculations
• Hawking temperature from tunnelling formalism
• Problems with Tunneling of Thin Shells from Black Holes
• Reduced Hamiltonian for intersecting shells

Cited by in corpus (2)

• Applications of the Tunneling Method to Particle Decay and Radiation from Naked Singularities
• Late-time expansion in the semiclassical theory of the Hawking radiation