On classical super-radiance in Kerr-Newman-anti-de Sitter black holes

Details On classical super-radiance in Kerr-Newman-anti-de Sitter black holes On classical super-radiance in Kerr-Newman-anti-de Sitter black holes

2001-06-08

arxiv.org/abs/gr-qc/0106032v2

Phys.Rev. D64 (2001) 104010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 3 figures, v2: minor changes, references added

Scientific paper

10.1103/PhysRevD.64.104010

We study in detail the modes of a classical scalar field on a Kerr-Newman-anti-de Sitter (KN-AdS) black hole. We construct sets of basis modes appropriate to the two possible boundary conditions (``reflective'' and ``transparent'') at time-like infinity, and consider whether super-radiance is possible. If we employ ``reflective'' boundary conditions, all modes are non-super-radiant. On the other hand, for ``transparent'' boundary conditions, the presence of super-radiance depends on our definition of positive frequency. For those KN-AdS black holes having a globally time-like Killing vector, the natural choice of positive frequency leads to no super-radiance. For other KN-AdS black holes, there is a choice of positive frequency which gives no super-radiance, but for other choices there will, in general, be super-radiance.

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