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A generalization of the mode stability result of Whiting (1989) for the Teukolsky equation is proved for the case of real frequencies.
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Hawking, S. W. and Hartle, J. B., “Energy and angular momentum flow into a black hole,” Communications in Mathematical Physics 27
1972
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Teukolsky, S. A., “Rotating Black Holes: Separable Wave Equations for Gravitational and Electromagnetic Perturbations,” Physical Review Letters 29
1972
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Press, W. H. and Teukolsky, S. A., “Perturbations of a Rotating Black Hole. II. Dynamical Stability of the Kerr Metric,” Astrophys. J. 185
1973
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Teukolsky, S. A., “Perturbations of a Rotating Black Hole. I. Fundamental Equations for Gravitational, Electromagnetic, and Neutrino-Field Perturbations,” Astrophysical J. 185
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Hartle, J. B. and Wilkins, D. C., “Analytic properties of the Teukolsky equation,” Communications in Mathematical Physics 38
1974
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Olver, F. W. J., Asymptotics and special functions , AKP Classics (A K Peters, Ltd., Wellesley, MA, 1997) pp. xviii+572, reprint of the 1974 original [Academic Press, New York; MR0435697 (55 #8655)]
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1974
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Teukolsky, S. A. and Press, W. H., “Perturbations of a rotating black hole. III - Interaction of the hole with gravitational and electromagnetic radiation,” Astrophys. J. 193
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Leaver, E. W., “Solutions to a generalized spheroidal wave equation: Teukolsky’s equations in general relativity, and the two-center problem in molecular quantum mechanics,” Journal of Mathematical Physics 27
1986
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Kalnins, E. G., Miller, Jr., W., and Williams, G. C., “Teukolsky-Starobinsky identities for arbitrary spin,” Journal of Mathematical Physics 30
1989
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Wang, Z. X. and Guo, D. R., Special functions (World Scientific Publishing Co., Inc., Teaneck, NJ, 1989) pp. xviii+695, translated from the Chinese by Guo and X. J. Xia
1989
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Whiting, B. F., “Mode stability of the Kerr black hole,” Journal of Mathematical Physics 30
1989
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Chandrasekhar, S., The mathematical theory of black holes , Oxford Classic Texts in the Physical Sciences (The Clarendon Press, Oxford University Press, New York, 1998) pp. xxii+646, reprint of the 1992 edition
Montgomery, H. L. and Vaughan, R. C., Multiplicative Number Theory I: Classical Theory , Cambridge Studies in Advanced Mathematics No. 97 (Cambridge University Press, 2006)
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1992
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Torres del Castillo, G. F. and Silva-Ortigoza, G., “Spin-3/2 perturbations of the Kerr-Newman solution,” Phys. Rev. D 46
1992
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Silva-Ortigoza, G., “Killing spinors and separability of Rarita-Schwinger’s equation in type { \{ 2,2 } \} backgrounds,” Journal of Mathematical Physics 36
1995
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Frauendiener, J., Ghosh, J., and Newman, E. T., “Twistors and the asymptotic behaviour of massless spin- 3 / 2 3/2 fields,” Classical and Quantum Gravity 13
1996
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Mason, L. and Nicolas, J., “Résultats globaux pour les équations de Rarita-Schwinger en espace-temps d’Einstein asymptotiquement plats,” Academie des Sciences Paris Comptes Rendus Serie Sciences Mathematiques 327
1998
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Kokkotas, K. and Schmidt, B., “Quasi-Normal Modes of Stars and Black Holes,” Living Reviews in Relativity 2
1999
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Slavyanov, S. Y. and Lay, W., Special functions , Oxford Mathematical Monographs (Oxford University Press, Oxford, 2000) pp. xvi+293, a unified theory based on singularities, With a foreword by Alfred Seeger, Oxford Science Publications
2000
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