Black hole lasers, a mode analysis

Understand

We show that the black hole laser effect discovered by Corley & Jacobson should be described in terms of frequency eigenmodes that are spatially bound.

• The spectrum contains a discrete and finite set of complex frequency modes which appear in pairs and which encode the laser effect.
• In addition, it contains real frequency modes that form a continuous set when space is infinite, and which are only elastically scattered, i.e., not subject to any Bogoliubov transformation.
• The quantization is straightforward, but the calculation of the asymptotic fluxes is rather involved.