Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010gras.conf..256k&link_type=abstract
GRAVITATION AND ASTROPHYSICS. Proceedings of the Ninth Asia-Pacific International Conference. Held 29 June-2 July 2009 in Wuhan,
Astronomy and Astrophysics
Astrophysics
Rotating Black Hole, Normal Mode, Zero And Super-Radiant Mode
Scientific paper
Normal modes, zero modes and super-radiant modes for scalar fields are studied in (2+1)-dimensional BTZ spacetime and in (3+1)-dimensional Kerr-anti-de Sitter spacetime. For BTZ spacetime, normal modes are obtained in solving the eigenvalue equation in numerical and analytical methods. All physical normal modes shown to lie above the zero mode line: 0=frequency - angular velocity × azimuthal angular momentum. For Kerr-anti-de Sitter spacetime, non-existence of zero modes is shown rigorously for the Dirichlet boundary condition. Non-existence of zero modes indicates that super-radiant instability modes are unphysical but super-radiant stability modes are physical.
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