Gravitational self-force on generic bound geodesics in Kerr spacetime

Brandon Carter, “Global structure of the Kerr family of gravitational fields,” Phys. Rev. 174

1968

Earlier work this paper cites.

S.A. Teukolsky, “Rotating black holes - separable wave equations for gravitational and electromagnetic perturbations,” Phys. Rev. Lett. 29

1972

Earlier work this paper cites.

Saul A. Teukolsky, “Perturbations of a rotating black hole. 1. Fundamental equations for gravitational electromagnetic and neutrino field perturbations,” Astrophys. J. 185

1973

Earlier work this paper cites.

Robert M. Wald, “On perturbations of a kerr black hole,” Journal of Mathematical Physics 14

1973

Earlier work this paper cites.

J.M. Cohen and L.S. Kegeles, “Electromagnetic fields in curved spaces - a constructive procedure,” Phys. Rev. D 10

1974

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.

P.L. Chrzanowski, “Vector Potential and Metric Perturbations of a Rotating Black Hole,” Phys. Rev. D 11

1975

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

Earlier work this paper cites.

L.S. Kegeles and J.M. Cohen, “Constructive procedure for perturbations of space-times,” Phys. Rev. D 19

1979

Earlier work this paper cites.

Shuhei Mano, Hisao Suzuki, and Eiichi Takasugi, “Analytic solutions of the Teukolsky equation and their low frequency expansions,” Prog. Theor. Phys. 95

1996

Earlier work this paper cites.

Yasushi Mino, Misao Sasaki, and Takahiro Tanaka, “Gravitational radiation reaction to a particle motion,” Phys. Rev. D 55

1997

Earlier work this paper cites.

Theodore C. Quinn and Robert M. Wald, “An Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved space-time,” Phys. Rev. D 56

1997

Earlier work this paper cites.

Shuhei Mano and Eiichi Takasugi, “Analytic solutions of the Teukolsky equation and their properties,” Prog. Theor. Phys. 97

1997

Earlier work this paper cites.

Scott A. Hughes, “The Evolution of circular, nonequatorial orbits of Kerr black holes due to gravitational wave emission,” Phys. Rev. D 61

2000

Earlier work this paper cites.

Leor Barack and Amos Ori, “Gravitational selfforce and gauge transformations,” Phys. Rev. D 64

2001

Earlier work this paper cites.

Leor Barack and Carlos O. Lousto, “Computing the gravitational selfforce on a compact object plunging into a Schwarzschild black hole,” Phys. Rev. D 66

2002

Earlier work this paper cites.

Leor Barack, Yasushi Mino, Hiroyuki Nakano, Amos Ori, and Misao Sasaki, “Calculating the gravitational selfforce in Schwarzschild space-time,” Phys. Rev. Lett. 88

2002

Earlier work this paper cites.

Yasushi Mino, Hiroyuki Nakano, and Misao Sasaki, “Covariant selfforce regularization of a particle orbiting a Schwarzschild black hole: Mode decomposition regularization,” Prog. Theor. Phys. 108

2002

Earlier work this paper cites.

Carlos O. Lousto and Bernard F. Whiting, “Reconstruction of black hole metric perturbations from Weyl curvature,” Phys. Rev. D 66

2002

Earlier work this paper cites.

Amos Ori, “Reconstruction of inhomogeneous metric perturbations and electromagnetic four potential in Kerr space-time,” Phys. Rev. D 67

2003

Earlier work this paper cites.

Steven L. Detweiler and Bernard F. Whiting, “Selfforce via a Green’s function decomposition,” Phys. Rev. D 67

2003

Earlier work this paper cites.

Yasushi Mino, “Perturbative approach to an orbital evolution around a supermassive black hole,” Phys. Rev. D 67

2003

Earlier work this paper cites.

Ryuichi Fujita and Hideyuki Tagoshi, “New numerical methods to evaluate homogeneous solutions of the Teukolsky equation,” Prog. Theor. Phys. 112

2004

Earlier work this paper cites.

Norichika Sago, Takahiro Tanaka, Wataru Hikida, and Hiroyuki Nakano, “Adiabatic radiation reaction to the orbits in Kerr spacetime,” Prog. Theor. Phys. 114

2005

Cited alongside, same era.

Steve Drasco and Scott A. Hughes, “Gravitational wave snapshots of generic extreme mass ratio inspirals,” Phys. Rev. D 73

2006

Cited alongside, same era.

Norichika Sago, Takahiro Tanaka, Wataru Hikida, Katsuhiko Ganz, and Hiroyuki Nakano, “The Adiabatic evolution of orbital parameters in the Kerr spacetime,” Prog. Theor. Phys. 115

2006

Cited alongside, same era.

Leor Barack and Norichika Sago, “Gravitational self force on a particle in circular orbit around a Schwarzschild black hole,” Phys. Rev. D 75

2007

Cited alongside, same era.

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

Niels Warburton, Sarp Akcay, Leor Barack, Jonathan R. Gair, and Norichika Sago, “Evolution of inspiral orbits around a Schwarzschild black hole,” Phys. Rev. D 85

Original

2012

Later among the works it cites.

Abhay G. Shah, John L. Friedman, and Tobias S. Keidl, “EMRI corrections to the angular velocity and redshift factor of a mass in circular orbit about a Kerr black hole,” Phys. Rev. D 86

Original

2012

Later among the works it cites.

Eanna E. Flanagan and Tanja Hinderer, “Transient resonances in the inspirals of point particles into black holes,” Phys. Rev. Lett. 109

Original

2012

Later among the works it cites.

Sam R. Dolan and Leor Barack, “Self-force via m m -mode regularization and 2+1D evolution: III. Gravitational field on Schwarzschild spacetime,” Phys. Rev. D 87

Original

2013

Later among the works it cites.