Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-12-15
Phys. Rev. D 81, 084042 (2010)
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, 3 figures, main changes: new figure and new Sec.6 `conditions for having a laser effect', final version accepted in
Scientific paper
10.1103/PhysRevD.81.084042
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. When the number of complex frequency modes is small, our expressions differ from those given earlier. In particular, when the region between the horizons shrinks, there is a minimal distance under which no complex frequency mode exists, and no radiation is emitted. Finally, we relate this effect to other dynamical instabilities found for rotating black holes and in electric fields, and we give the conditions to get this type of instability.
Coutant Antonin
Parentani Renaud
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