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2009

Classes of Exact Solutions to the Teukolsky Master Equation

Fiziev, Plamen P.

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The Teukolsky Master Equation is the basic tool for study of perturbations of the Kerr metric in linear approximation.

It admits separation of variables, thus yielding the Teukolsky Radial Equation and the Teukolsky Angular Equation.
We present here a unified description of all classes of exact solutions to these equations in terms of the confluent Heun functions.
Large classes of new exact solutions are found and classified with respect to their characteristic properties.

Classes of Exact Solutions to the Teukolsky Master Equation · Around

Built on

Bateman H, Erderlyi A 1953 Higher Transcedental Functions
1953
Earlier work this paper cites.
Coddington E A, Levinson N 1955 Theory of Ordinary Differential Equations
1955
Earlier work this paper cites.
Reed M, Simon B 1975 Methods of Modern Mathematical Physics
1958
Earlier work this paper cites.
Starobinskiy A A 1973 Sov. Phys. JETP 64
1973
Earlier work this paper cites.
Teukolsly S A 1972 PRL 16
1974
Earlier work this paper cites.
Chandrasekhar S 1983 The Mathematical Theory of Black Holes
1983
Earlier work this paper cites.
Leaver E W 1985 Proc. Roy. Soc. London A 402
1990
Earlier work this paper cites.
Chern S-S 1947 Proc. Nat. Acad. Sci. 33
1996
Earlier work this paper cites.
Pretorius F, Israel W 1998 Class. Quant. Grav. 15
1998
Earlier work this paper cites.
Talbot C J 1969 Comm. Math. Phys. 13
2000
Earlier work this paper cites.

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Then

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Chandrasekhar S, Detweiler S L 1975 Proc. Roy. Soc. London A 344
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Cartan E 1983 Geometry of Riemannian Spaces
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