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The Teukolsky Master Equation describes the dynamics of massless fields with spin on a Kerr black hole.
“Mathieusche Funktionen und Sphäroidfunktionen”
Josef Meixner and Friedrich. Schäfke · 1954
Earlier work this paper cites.
“Stability of a Schwarzschild Singularity”
Tullio Regge and John. Wheeler · 1957
Earlier work this paper cites.
“An approach to gravitational radiation by a method of spin coefficients”
E.. Newman and Roger Penrose · 1962
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“Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics”
Roy. Kerr · 1963
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“Hamilton-Jacobi and Schrödinger Separable Solutions of Einstein’s Equations”
Brandon Carter · 1968
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“Introduction to asymptotics and special functions”
Frank.. Olver · 1973
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“Perturbations of a Rotating Black Hole. I. Fundamental Equations for Gravitational, Electromagnetic, and Neutrino-Field Perturbations”
Saul. Teukolsky · 1973
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“Separability of the Neutrino Equations in a Kerr Background”
W. Unruh · 1973
Earlier work this paper cites.
“On perturbations of a Kerr black hole”
Robert. Wald · 1973
Earlier work this paper cites.
“Analytic properties of the Teukolsky equation”
J.. Hartle and D.. Wilkins · 1974
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“Amplification of electromagnetic and gravitational waves scattered by a rotating “black hole””
A.. Starobinsky and S.. Churilov · 1974
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“Perturbations of a rotating black hole. III - Interaction of the hole with gravitational and electromagnetic radiation”
Saul. Teukolsky and William. Press · 1974
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“Some Properties of Spin-Weighted Spheroidal Harmonics.”
R.. Breuer, M.. Ryan and S. Waller · 1977
Cited alongside, same era.
“The Mathematical Theory of Black Holes”
Subrahmanyan Chandrasekhar · 1983
Cited alongside, same era.
“On algebraically special perturbations of black holes”
Subrahmanyan Chandrasekhar · 1984
Cited alongside, same era.
“Spinors and Space-Time, Volume 1: Two-spinor calculus and relativistic field”
Roger Penrose and Wolfgang Rindler · 1984
Cited alongside, same era.
“Teukolsky–Starobinsky identities for arbitrary spin”
Ernest. Kalnins, Willard Miller and Graeme. Williams · 1989
Cited alongside, same era.
“Mode stability of the Kerr black hole”
Bernard. Whiting · 1989
Cited alongside, same era.
Yakov Shlapentokh-Rothman and Rita Teixeira da Costa · 2007
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“Teukolsky-Starobinsky identities: A novel derivation and generalizations”
Plamen. Fiziev · 2009
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“Novel relations and new properties of confluent Heun’s functions and their derivatives of arbitrary order”
Plamen. Fiziev · 2010
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“Boundary conditions for kerr-ads perturbations”
Óscar.. Dias and Jorge. Santos · 2013
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“Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime”
Yakov Shlapentokh-Rothman · 2015
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“The Kerr metric”
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“The Teukolsky-Starobinsky Constant for Arbitrary Spin”
Subrahmanyan Chandrasekhar · 1990
Cited alongside, same era.
“Rarita–Schwinger fields in the Kerr geometry”
G.. Torres del Castillo and G. Silva-Ortigoza · 1990
Cited alongside, same era.
“Recent advances in the use of separation of variables methods in general relativity”
Ernest. Kalnins, Willard Miller and Graeme. Williams · 1992
Cited alongside, same era.
“Higher-spin gauge theories in four, three and two dimensions”
M.. Vasiliev · 1996
Cited alongside, same era.
“High frequency asymptotics for the spin-weighted spheroidal equation”
Marc Casals and Adrian. Ottewill · 2005
Cited alongside, same era.
Hamed Masaood · 2007
Cited alongside, same era.
Saul. Teukolsky · 2015
Later among the works it cites.
“Mode stability on the real axis”
Lars Andersson, Siyuan Ma, Claudio Paganini and Bernard. Whiting · 2017
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“High-order asymptotics for the spin-weighted spheroidal equation at large real frequency”
Marc Casals, Adrian. Ottewill and Niels Warburton · 2018
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“Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case | a | ≪ M |a|\ll M ”
Mihalis Dafermos, Gustav Holzegel and Igor Rodnianski · 2019
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“The spin ± 1 \pm 1 Teukolsky equations and the Maxwell system on Schwarzschild”
Federico Pasqualotto · 2019
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“Mode Stability for the Teukolsky Equation on Extremal and Subextremal Kerr Spacetimes”
Rita Teixeira da Costa · 2020
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“The Teukolsky–Starobinsky identities in type D vacuum backgrounds with cosmological constant”
G.. Torres del Castillo · 2083
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