Generalised superradiant scattering

Details Generalised superradiant scattering Generalised superradiant scattering

2009-09-12

arxiv.org/abs/0909.2317v2

Phys.Rev.D80:124016,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages; new version: new title no other changes;

Scientific paper

10.1103/PhysRevD.80.124016

We analyse the necessary and sufficient conditions for the occurrence of superradiance. Starting with a wave equation we examine the possibility of superradiance in terms of an effective potential and boundary conditions. In particular, we show that the existence of an ergoregion is not sufficient; an appropriate boundary condition, e.g. only ingoing group velocity waves at an event horizon, is also crucial. After applying our scheme to the standard examples of superradiance, we show that analogue models of gravity without an event horizon do not necessarily exhibit superradiance. Particularly, we show that the superradiant phenomenon is absent in purely rotating inviscid fluids with vorticity. We argue that there should be a catalogue of superradiant systems that can be found by focusing on the necessary and sufficient conditions outlined below.

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