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We generalize to Kerr spacetime previous gravitational self-force results on gyroscope precession along circular orbits in the Schwarzschild spacetime.
1952
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1974
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P.L. Chrzanowski, “Vector Potential and Metric Perturbations of a Rotating Black Hole,” Phys. Rev. D 11
1975
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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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L.S. Kegeles and J.M. Cohen, “Constructive procedure for perturbations of space-times,” Phys. Rev. D 19
1979
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Bala R. Iyer and C. V. Vishveshwara, “The Frenet-Serret description of gyroscopic precession,” Phys. Rev. D48
1993
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Shuhei Mano, Hisao Suzuki, and Eiichi Takasugi, “Analytic solutions of the Teukolsky equation and their low frequency expansions,” 95
1996
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Shuhei Mano and Eiichi Takasugi, “Analytic solutions of the Teukolsky equation and their properties,” 97
1997
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A. Buonanno and T. Damour, “Effective one-body approach to general relativistic two-body dynamics,” Phys. Rev. D 59
1999
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Leor Barack and Amos Ori, “Gravitational selfforce and gauge transformations,” Phys. Rev. D 64
2001
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Thibault Damour, “Coalescence of two spinning black holes: an effective one-body approach,” Phys. Rev. D64
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Carlos O. Lousto and Bernard F. Whiting, “Reconstruction of black hole metric perturbations from Weyl curvature,” Phys. Rev. D 66
2002
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Leor Barack, Yasushi Mino, Hiroyuki Nakano, Amos Ori, and Misao Sasaki, “Calculating the gravitational selfforce in Schwarzschild space-time,” Phys. Rev. Lett. 88
2002
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Amos Ori, “Reconstruction of inhomogeneous metric perturbations and electromagnetic four potential in Kerr space-time,” Phys. Rev. D 67
2003
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Steven L. Detweiler and Bernard F. Whiting, “Selfforce via a Green’s function decomposition,” Phys. Rev. D 67
2003
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Ryuichi Fujita and Hideyuki Tagoshi, “New numerical methods to evaluate homogeneous solutions of the Teukolsky equation,” 112
2004
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Tobias S. Keidl, John L. Friedman, and Alan G. Wiseman, “On finding fields and self-force in a gauge appropriate to separable wave equations,” Phys. Rev. D 75
2007
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William Throwe, “High precision calculation of generic extreme mass ratio inspirals,” (2010), MIT bachelor’s thesis
2010
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Sarp Akcay, “Self-force correction to geodetic spin precession in Kerr spacetime,” Phys. Rev. D96
2017
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2017
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