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Numerical evaluation of the self-force on a point particle is made difficult by the use of delta functions as sources.
Classical theory of radiating electrons
P.A.M. Dirac · 1938
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Stability of a Schwarzschild singularity
T. Regge and J.A. Wheeler · 1957
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Gravitational field of a particle falling in a Schwarzschild geometry analyzed in tensor harmonics
F.J. Zerilli · 1970
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Gravitational radiation from a particle falling radially into Schwarzschild black hole
M. Davis, R. Ruffini, W.H. Press, and R.H. Price · 1971
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Perturbations of a rotating black hole. I. Fundamental equations for gravitational, electromagnetic, and neutrino-field perturbations
S.A. Teukolsky · 1973
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Black holes and gravitational waves. I. Circular orbits about a rotating hole
S.L. Detweiler · 1978
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Laws of motion and precession for black holes and other bodies
K.S. Thorne and J.B. Hartle · 1985
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Multipole expansions of the general-relativistic gravitational field of the external universe
X.-H. Zhang · 1986
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Gravitational radiation reaction to a particle motion
Y. Mino, M. Sasaki, and T. Tanaka · 1997
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Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime
T.C. Quinn and R.M. Wald · 1997
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Axiomatic approach to radiation reaction of scalar point particles in curved spacetime
T.C. Quinn · 2000
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Mode sum regularization approach for the self-force in black hole spacetime
L. Barack and A. Ori · 2000
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Self-force on a scalar particle in spherically symmetric spacetime via mode-sum regularization: Radial trajectories
L. Barack · 2000
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Radiation-reaction force on a particle plunging into a black hole
L. Barack and L. Burko · 2000
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Self-force on a particle in orbit around a black hole
L.M. Burko · 2000
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Mode-coupling in rotating gravitational collapse of a scalar field
Shahar Hod · 2000
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Computing the gravitational self-force on a compact object plunging into a Schwarzschild black hole
L. Barack and C.O. Lousto · 2002
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Regularization parameters for the self-force in Schwarzschild spacetime: scalar case
L. Barack and A. Ori · 2002
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Self-force of a scalar field for circular orbits about a Schwarzschild black hole
S. Detweiler, E. Messaritaki, and B.F. Whiting · 2003
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Regularization parameters for the self-force in Schwarzschild spacetime. II. Gravitational and electromagnetic cases
L. Barack and A. Ori · 2003
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Gravitational Self-Force on a Particle Orbiting a Kerr Black Hole
m-mode regularization scheme for the self-force in Kerr spacetime
L. Barack, D.A. Golbourn, and N. Sago · 2007
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A Rigorous Derivation of Gravitational Self-force
Samuel E. Gralla and Robert M. Wald · 2008
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Regularization of fields for self-force problems in curved spacetime: Foundations and a time-domain application
I. Vega and S. Detweiler · 2008
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Self-force with (3+1) codes: a primer for numerical relativists
I. Vega, P. Diener, W. Tichy, and S. Detweiler · 2009
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Quasilocal contribution to the scalar self-force: Nongeodesic motion
A.C. Ottewill and B. Wardell · 2009
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Spacelike matching to null infinity
Anil Zenginoglu and Manuel Tiglio · 2009
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L. Barack and A. Ori · 2003
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Self-force via a Green’s function decomposition
S. Detweiler and B.F. Whiting · 2003
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Scalar field self-force effects on orbits about a Schwarzschild black hole
L.M. Diaz-Rivera, E. Messaritaki, B.F. Whiting, and S. Detweiler · 2004
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The motion of point particles in curved spacetime
E. Poisson · 2004
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Mode-sum regularization of the scalar self-force: Formulation in terms of a tetrad decomposition of the singular field
R. Haas and E. Poisson · 2006
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Intermediate and extreme mass-ratio inspirals – astrophysics, science applications and detection using LISA
P. Amaro-Seoane, J.R. Gair, M. Freitag, M.C. Miller, I. Mandel, C.J. Cutler, and S. Babak · 2007
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Gravitational self-force on a particle in circular orbit around a Schwarzschild black hole
L. Barack and N. Sago · 2007
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The Asymptotic Falloff of Local Waveform Measurements in Numerical Relativity
Denis Pollney, Christian Reisswig, Nils Dorband, Erik Schnetter, and Peter Diener · 2009
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High accuracy binary black hole simulations with an extended wave zone
Denis Pollney, Christian Reisswig, Erik Schnetter, Nils Dorband, and Peter Diener · 2009
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Self-consistent gravitational self-force
A. Pound · 2010
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Self-force on a scalar charge in Kerr spacetime: Circular equatorial orbits
N. Warburton and L. Barack · 2010
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Gravitational self-force on a particle in eccentric orbit around a schwarzschild black hole
L. Barack and N. Sago · 2010
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S.R. Dolan and L. Barack · 2010
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A Transport Equation Approach to Calculations of Green functions and HaMiDeW coefficients
A.C. Ottewill and B. Wardell · 2010
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Transient resonances in the inspirals of point particles into black holes
E.E. Flanagan and T. Hinderer · 2010
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