Self-interaction correction to black hole radiance

https://cds.cern.ch/record/549532/files/0204253.pdf

Dilaton gravity in two-dimensions

Effect of self-interaction on charged black hole radiance

We extend our previous analysis of the modification of the spectrum of black hole radiance due to the simplest and probably most quantitatively important back-reaction effect, that is self-gravitational interaction, to the case of charged holes. As anticipated, the corrections are small for low-energy radiation when the hole is well away from extremality, butbecome qualitatively important near extremality. A notable result is that radiation which could leave the hole with mass and charge characteristic of a naked singularity, predicted in the usual approximation of fixed space-time geometry, is here suppressed. We discuss the nature of our approximations, and show how they work in a simpler electromagnetic analogue problem.

Effect of Self-Interaction on Charged Black Hole Radiance

Exact Dirac quantization of all 2D dilaton gravity theories

Hamiltonian methods are used to study spherically symmetric gravitational fields with electromagnetism and a massless scalar field as sources. The constraints reduce to a first-order linear ordinary differential equation which is solved to yield the dynamical Hamiltonian, or the complete solution when no dynamics is present in the problem.

D. M. Chitre

Papers

Hamiltonian formulation of spherically symmetric gravitational fields.