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We develop a formalism to treat higher order (nonlinear) metric perturbations of the Kerr spacetime in a Teukolsky framework.
1903
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Ivor Robinson and A Trautman, “Some spherical gravitational waves in general relativity,” Proc. Royal Soc. Lond. A 265
1962
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Shoshichi Kobayashi and Katsumi Nomizu, Foundations of Differential Geometry, Volume I (John Wiley & Sons, Inc., 1963)
1963
Earlier work this paper cites.
J. N. Goldberg, A. J. Macfarlane, E. T. Newman, F. Rohrlich, and E. C. G. Sudarshan, “Spin-s spherical harmonics and ð \eth ,” J. Math. Phys. 8
1967
Earlier work this paper cites.
William Kinnersley, “Type D Vacuum Metrics,” J. Math. Phys. 10
1969
Earlier work this paper cites.
S. A. Teukolsky, “Rotating Black Holes: Separable Wave Equations for Gravitational and Electromagnetic Perturbations,” Phys. Rev. Lett. 29
1972
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Saul A. Teukolsky, “Perturbations of a rotating black hole. 1. Fundamental equations for gravitational electromagnetic and neutrino field perturbations,” Astrophys. J. 185
1973
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Robert P. Geroch, A. Held, and R. Penrose, “A space-time calculus based on pairs of null directions,” J. Math. Phys. 14
1973
Earlier work this paper cites.
R. M. Wald, “On perturbations of a Kerr black hole.” J. Math. Phys. 14
1973
Earlier work this paper cites.
W. E. Couch and E. T. Newman, “Algebraically special perturbations of the schwarzschild metric,” J. Math. Phys. 14
1973
Earlier work this paper cites.
S. A. Teukolsky and W. H. Press, “Perturbations of a rotating black hole. III - Interaction of the hole with gravitational and electromagnetic radiation,” Astrophys. J. 193
1974
Earlier work this paper cites.
A. Held, “A formalism for the investigation of algebraically special metrics. I,” Commun. Math. Phys. 37
1974
Earlier work this paper cites.
P. L. Chrzanowski, “Vector Potential and Metric Perturbations of a Rotating Black Hole,” Phys. Rev. D11
1975
Earlier work this paper cites.
A. Held, “A formalism for the investigation of algebraically special metrics. II,” Commun. Math. Phys. 44
1975
Earlier work this paper cites.
J. F. Plebanski and M. Demianski, “Rotating, charged, and uniformly accelerating mass in general relativity,” Annals Phys. 98
1976
Earlier work this paper cites.
Robert M. Wald, “Construction of Solutions of Gravitational, Electromagnetic, Or Other Perturbation Equations from Solutions of Decoupled Equations,” Phys. Rev. Lett. 41
1978
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Robert P. Geroch and B. C. Xanthopoulos, “Asymptotic simplicity is stable,” J. Math. Phys. 19
1978
Earlier work this paper cites.
L. S. Kegeles and J. M. Cohen, “Constructive procedure for perturbations of spacetimes,” Phys. Rev. D19
1979
Cited alongside, same era.
Michael Eastwood and Paul Tod, “Edth-a differential operator on the sphere,” in Mathematical Proceedings of the Cambridge Philosophical Society , Vol. 92 (Cambridge University Press, 1982) pp. 317–330
1982
Cited alongside, same era.
S. Chandrasekhar, The Mathematical Theory of Black Holes (Clarendon Press, Oxford, 1983)
1983
Cited alongside, same era.
R. M. Wald, General Relativity (University of Chicago Press, Chicago, 1984)
1984
Cited alongside, same era.
V. E. Zakharov, V. S. L’Vov, and G. Falkovich, Kolmogorov spectra of turbulence 1. Wave turbulence (Springer-Verlag, 1992)
1992
Cited alongside, same era.
Stefan Hollands, “Renormalized Quantum Yang-Mills Fields in Curved Spacetime,” Rev. Math. Phys. 20
2008
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J. Goldberg and R. Sachs, “Republication of: A theorem on Petrov types,” Gen. Relativ. Gravit. 41
2009
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2013
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2013
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Vivek Iyer and Robert M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev. D50
1994
Cited alongside, same era.
Theodore C. Quinn and Robert M. Wald, “An Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved space-time,” Phys. Rev. D56
1997
Cited alongside, same era.
Yasushi Mino, Misao Sasaki, and Takahiro Tanaka, “Gravitational radiation reaction to a particle motion,” Phys. Rev. D55
1997
Cited alongside, same era.
Hans-Peter Nollert, “TOPICAL REVIEW: Quasinormal modes: the characteristic ‘sound’ of black holes and neutron stars,” Class. Quant. Grav. 16
1999
Cited alongside, same era.
Manuela Campanelli and Carlos O. Lousto, “Second order gauge invariant gravitational perturbations of a Kerr black hole,” Phys. Rev. D59
1999
Cited alongside, same era.
S Brian Edgar and Garry Ludwig, “Integration in the GHP formalism IV: A new Lie derivative operator leading to an efficient treatment of Killing vectors,” General Relativity and Gravitation 32
2000
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Leor Barack and Amos Ori, “Gravitational self-force and gauge transformations,” Phys. Rev. D64
2001
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2014
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2014
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Huan Yang, Aaron Zimmerman, and Luis Lehner, “Turbulent Black Holes,” Phys. Rev. Lett. 114
2015
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2016
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2016
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Thomas Mädler and Jeffrey Winicour, “Bondi-Sachs Formalism,” Scholarpedia 11
2016
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2017
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2017
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2017
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2018
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2019
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