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We investigate the instability of the massive scalar field in the vicinity of a rotating black hole.
Solution of the scalar wave equation in a Kerr background by separation of variables
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Ternov, I. M., Kalilov, V. R., Chizhov, A., and Gaina, A. B · 1978
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Finite motion of electrons in the field of microscopically small black holes
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The Mathematical Theory of Black Holes
Chandrasekhar, S · 1983
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Occupation of bound states by electrons in the Schwarzschild field
Gal’tsov, D. V., Pomerantseva, G. V., and Chizhov, G. A · 1983
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An analytic representation for the quasi-normal modes of Kerr black holes
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Solutions to a generalized spheroidal wave equation: Teukolsky’s equations in general relativity, and the two-center problem in molecular quantum mechanics
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Seidel, E · 1989
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Berti, E., Kokkotas, K. D., and Papantonopoulos, E · 2003
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Particle and light motion in a space-time of a five-dimensional rotating black hole
Frolov, V. P · 2003
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Universality of massive scalar field late-time tails in black hole spacetimes
Burko, L. M., and Khanna, G · 2004
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Small Kerr-anti-de Sitter black holes are unstable
Cardoso, V., and Dias, O. J. C · 2004
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Black-hole bomb and superradiant instabilities
Cardoso, V., Dias, O. J. C., Lemos, J. P. S., and Yoshida, S · 2004
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Instability of massive scalar fields in Kerr-Newman spacetime
Furuhashi, H., and Nambu, Y · 2004
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Quasinormal modes of a Schwarzschild black hole: Improved phase-integral treatment
Andersson, N., and Linnaeus, S · 1992
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Gaina, A. B., and Zaslavskii, O. B · 1992
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Massive scalar quasi-normal modes of Schwarzschild and Kerr black holes
Simone, L. E., and Will, C. M · 1992
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Gaina, A. B., and Ionescu-Pallas, N. I · 1993
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Black strings and p-branes are unstable
Gregory, R., and Laflamme, R · 1993
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Krivan, W., Laguna, P., Papadopoulos, P., and Andersson, N · 1997
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New instability for rotating black branes and strings
Cardoso, V., and Lemos, J. P. S · 2005
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Bound states and decay times of fermions in a Schwarzschild black hole background
Lasenby, A. N., Doran, C. J. L., Pritchard, J., Caceres, A., and Dolan, S. R · 2005
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Massive scalar field instability in Kerr spacetime
Strafuss, M. J., and Khanna, G · 2005
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The mass of the photon
Tu, L.-C., Luo, J., and Gillies, G. T · 2005
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Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions
Berti, E., Cardoso, V., and Casals, M · 2006
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Exact solution of Regge-Wheeler equation and quasi-normal modes of compact objects
Fiziev, P. P · 2006
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Stability and quasinormal modes of the massive scalar field around Kerr black holes
Konoplya, R. A., and Zhidenko, A. V · 2006
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Electromagnetic and gravitational radiation of graviatoms
Laptev, Y. P., and Fil’chenkov, M. L · 2006
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