Fetching the paper…
Reading the bibliography…
Building on substantial foundational progress in understanding the effect of a small body's self-field on its own motion, the past 15 years has seen the emergence of several strategies for explicitly computing self-field corrections to the equations of motion of a small, point-like charge.
Classical theory of radiating electrons
Paul A.M. Dirac · 1938
Earlier work this paper cites.
Stability of a Schwarzschild singularity
Tullio Regge and John A. Wheeler · 1957
Earlier work this paper cites.
Radiation damping in a gravitational field
Bryce S. DeWitt and Robert W. Brehme · 1960
Earlier work this paper cites.
A vierbien formalism of radiation damping
J. M. Hobbs · 1968
Earlier work this paper cites.
Gravitational field of a particle falling in a schwarzschild geometry analyzed in tensor harmonics
F.J. Zerilli · 1970
Earlier work this paper cites.
Stability of the schwarzschild metric
C.V. Vishveshwara · 1970
Earlier work this paper cites.
Rotating black holes - separable wave equations for gravitational and electromagnetic perturbations
S.A. Teukolsky · 1972
Earlier work this paper cites.
Gravitation
Charles W. Misner, K.S. Thorne, and J.A. Wheeler · 1973
Earlier work this paper cites.
Perturbations of a rotating black hole. 1. Fundamental equations for gravitational electromagnetic and neutrino field perturbations
Saul A. Teukolsky · 1973
Earlier work this paper cites.
Gravitational perturbations of spherically symmetric systems. I. The exterior problem
V. Moncrief · 1974
Earlier work this paper cites.
Radiation from collapsing relativistic stars. I - Linearized odd-parity radiation
C.T. Cunningham, R.H. Price, and V. Moncrief · 1978
Earlier work this paper cites.
Radiation from collapsing relativistic stars. II - Linearized even parity radiation
C.T. Cunningham, R.H. Price, and V. Moncrief · 1979
Earlier work this paper cites.
A Class of New Perturbation Equations for the Kerr Geometry
Misao Sasaki and Takashi Nakamura · 1982
Earlier work this paper cites.
Gravitational Radiation From a Kerr Black Hole. 1. Formulation and a Method for Numerical Analysis
Misao Sasaki and Takashi Nakamura · 1982
Earlier work this paper cites.
Covariant methods for the calculation of the effective action in quantum field theory and investigation of higher derivative quantum gravity
Ivan Grigorevich Avramidi · 1986
Earlier work this paper cites.
Spectral decomposition of the perturbation response of the Schwarzschild geometry
Edward W. Leaver · 1986
Earlier work this paper cites.
Solutions to a generalized spheroidal wave equation: Teukolsky’s equations in general relativity, and the two-center problem in molecular quantum mechanics
E. W. Leaver · 1986
Earlier work this paper cites.
Erratum: spectral decomposition of the perturbation response of the schwarzschild geometry
Edward W. Leaver · 1988
Earlier work this paper cites.
Harmonic gauge perturbations of the Schwarzschild metric
Mark V. Berndtson · 1996
Earlier work this paper cites.
Analytic solutions of the Teukolsky equation and their low frequency expansions
Shuhei Mano, Hisao Suzuki, and Eiichi Takasugi · 1996
Earlier work this paper cites.
Gravitational radiation reaction to a particle motion
Yasushi Mino, Misao Sasaki, and Takahiro Tanaka · 1997
Earlier work this paper cites.
An Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved space-time
Theodore C. Quinn and Robert M. Wald · 1997
Earlier work this paper cites.
The Demography of massive dark objects in galaxy centers
John Magorrian, Scott Tremaine, Douglas Richstone, Ralf Bender, Gary Bower, et al · 1998
Earlier work this paper cites.
Suggestion at the 1st Capra Ranch meeting on Radiation Reaction, 1998
E. Poisson and A. G. Wiseman · 1998
Earlier work this paper cites.
Radiation Reaction Near Black Holes
R. A. Capon · 1998
Earlier work this paper cites.
Axiomatic approach to radiation reaction of scalar point particles in curved space-time
Theodore C. Quinn · 2000
Earlier work this paper cites.
Mode sum regularization approach for the selfforce in black hole space-time
Leor Barack and Amos Ori · 2000
Earlier work this paper cites.
Radiation reaction force on a particle plunging into a black hole
Leor Barack and Lior M. Burko · 2000
Earlier work this paper cites.
Selfforce on particle in orbit around a black hole
Lior M. Burko · 2000
Earlier work this paper cites.
Heat kernel and quantum gravity
Ivan G. Avramidi · 2000
Earlier work this paper cites.
The Selfforce on a static scalar test charge outside a Schwarzschild black hole
Alan G. Wiseman · 2000
Earlier work this paper cites.
Selfforce on a scalar charge in the space-time of a stationary, axisymmetric black hole
Lior M. Burko and Yuk Tung Liu · 2001
Earlier work this paper cites.
Zoom and whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction
Kostas Glampedakis and Daniel Kennefick · 2002
Earlier work this paper cites.
Calculating the gravitational selfforce in Schwarzschild space-time
Leor Barack, Yasushi Mino, Hiroyuki Nakano, Amos Ori, and Misao Sasaki · 2002
Earlier work this paper cites.
Computing the gravitational selfforce on a compact object plunging into a Schwarzschild black hole
Leor Barack and Carlos O. Lousto · 2002
Earlier work this paper cites.
Mass loss by a scalar charge in an expanding universe
Lior M. Burko, Abraham I. Harte, and Eric Poisson · 2002
Earlier work this paper cites.
Selfforce via a Green’s function decomposition
Steven L. Detweiler and Bernard F. Whiting · 2003
Earlier work this paper cites.
Perturbative approach to an orbital evolution around a supermassive black hole
Yasushi Mino · 2003
Earlier work this paper cites.
Selfforce of a scalar field for circular orbits about a Schwarzschild black hole
Steven L. Detweiler, Eirini Messaritaki, and Bernard F. Whiting · 2003
Earlier work this paper cites.
Analytic black hole perturbation approach to gravitational radiation
Misao Sasaki and Hideyuki Tagoshi · 2003
Earlier work this paper cites.
Event rate estimates for LISA extreme mass ratio capture sources
Jonathan R. Gair, Leor Barack, Teviet Creighton, Curt Cutler, Shane L. Larson, et al · 2004
Earlier work this paper cites.
LISA capture sources: Approximate waveforms, signal-to-noise ratios, and parameter estimation accuracy
Leor Barack and Curt Cutler · 2004
Earlier work this paper cites.
Scalar field self-force effects on orbits about a Schwarzschild black hole
Luz Maria Diaz-Rivera, Eirini Messaritaki, Bernard F. Whiting, and Steven L. Detweiler · 2004
Earlier work this paper cites.
Massive field approach to the scalar selfforce in curved space-time
Eran Rosenthal · 2004
Earlier work this paper cites.
Scalar self-force on a static particle in Schwarzschild using the massive field approach
Eran Rosenthal · 2004
Earlier work this paper cites.
Regularization of second-order scalar perturbation produced by a point-particle with a nonlinear coupling
Eran Rosenthal · 2005
Earlier work this paper cites.
Regularization of the second-order gravitational perturbations produced by a compact object
Eran Rosenthal · 2005
Earlier work this paper cites.
Gravitational radiation reaction and inspiral waveforms in the adiabatic limit
Scott A. Hughes, Steve Drasco, Eanna E. Flanagan, and Joel Franklin · 2005
Earlier work this paper cites.
Computing inspirals in Kerr in the adiabatic regime. I. The Scalar case
Steve Drasco, Eanna E. Flanagan, and Scott A. Hughes · 2005
Earlier work this paper cites.
Numerical radiation reaction for a scalar charge in Kerr circular orbit
Samuel E. Gralla, John L. Friedman, and Alan G. Wiseman · 2005
Earlier work this paper cites.
A Matched expansion approach to practical self-force calculations
Warren G. Anderson and Alan G. Wiseman · 2005
Earlier work this paper cites.
Perspective on gravitational self-force analyses
Steven L. Detweiler · 2005
Earlier work this paper cites.
Quasi-local contribution to the gravitational self-force
Warren G. Anderson, Eanna E. Flanagan, and Adrian C. Ottewill · 2005
Earlier work this paper cites.
Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation
Leor Barack and Carlos O. Lousto · 2005
Earlier work this paper cites.
Gravitational perturbations of the Schwarzschild spacetime: A Practical covariant and gauge-invariant formalism
Karl Martel and Eric Poisson · 2005
Earlier work this paper cites.
Mass change and motion of a scalar charge in cosmological spacetimes
Roland Haas and Eric Poisson · 2005
Earlier work this paper cites.
Construction of the second-order gravitational perturbations produced by a compact object
Eran Rosenthal · 2006
Earlier work this paper cites.
Second-order gravitational self-force
Eran Rosenthal · 2006
Earlier work this paper cites.
The Adiabatic evolution of orbital parameters in the Kerr spacetime
Norichika Sago, Takahiro Tanaka, Wataru Hikida, Katsuhiko Ganz, and Hiroyuki Nakano · 2006
Earlier work this paper cites.
Gravitational wave snapshots of generic extreme mass ratio inspirals
Steve Drasco and Scott A. Hughes · 2006
Earlier work this paper cites.
Mode-sum regularization of the scalar self-force: Formulation in terms of a tetrad decomposition of the singular field
Roland Haas and Eric Poisson · 2006
Earlier work this paper cites.
Off-diagonal coefficients of the Dewitt-Schwinger and Hadamard representations of the Feynman propagator
Yves Decanini and Antoine Folacci · 2006
Earlier work this paper cites.
Astrophysics, detection and science applications of intermediate- and extreme mass-ratio inspirals
Pau Amaro-Seoane, Jonathan R. Gair, Marc Freitag, M. Coleman Miller, Ilya Mandel, et al · 2007
Earlier work this paper cites.
Towards adiabatic waveforms for inspiral into Kerr black holes. I. A New model of the source for the time domain perturbation equation
Pranesh A. Sundararajan, Gaurav Khanna, and Scott A. Hughes · 2007
Cited alongside, same era.
Scalar-field perturbations from a particle orbiting a black hole using numerical evolution in 2+1 dimensions
Leor Barack and Darren A. Golbourn · 2007
Cited alongside, same era.
Scalar self-force on eccentric geodesics in Schwarzschild spacetime: A Time-domain computation
Roland Haas · 2007
Cited alongside, same era.
Gravitational self force on a particle in circular orbit around a Schwarzschild black hole
Leor Barack and Norichika Sago · 2007
Cited alongside, same era.
The self-force on a non-minimally coupled static scalar charge outside a Schwarzschild black hole
D.H.J. Cho, A.A. Tsokaros, and A.G. Wiseman · 2007
Cited alongside, same era.
Regularization of static self-forces
Marc Casals, Eric Poisson, and Ian Vega · 2012
Later among the works it cites.
High-order expansions of the Detweiler-Whiting singular field in Schwarzschild spacetime
Anna Heffernan, Adrian Ottewill, and Barry Wardell · 2012
Later among the works it cites.
Self-consistent orbital evolution of a particle around a Schwarzschild black hole
Peter Diener, Ian Vega, Barry Wardell, and Steven Detweiler · 2012
Later among the works it cites.
Static Kerr Green’s Function in Closed Form and an Analytic Derivation of the Self-Force for a Static Scalar Charge in Kerr Space-Time
Adrian C. Ottewill and Peter Taylor · 2012
Later among the works it cites.
Evolution of inspiral orbits around a Schwarzschild black hole
Niels Warburton, Sarp Akcay, Leor Barack, Jonathan R. Gair, and Norichika Sago · 2012
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Self-forces from generalized Killing fields
Abraham I. Harte · 2008
Cited alongside, same era.
A Rigorous Derivation of Gravitational Self-force
Samuel E. Gralla and Robert M. Wald · 2008
Cited alongside, same era.
Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
Tanja Hinderer and Eanna E. Flanagan · 2008
Cited alongside, same era.
Regularization of fields for self-force problems in curved spacetime: Foundations and a time-domain application
Ian Vega and Steven L. Detweiler · 2008
Cited alongside, same era.
A New method to integrate (2+1)-wave equations with Dirac’s delta functions as sources
Carlos O. Lousto and Hiroyuki Nakano · 2008
Cited alongside, same era.
Quasilocal contribution to the scalar self-force: Geodesic motion
Adrian C. Ottewill and Barry Wardell · 2008
Cited alongside, same era.
Two approaches for the gravitational self force in black hole spacetime: Comparison of numerical results
Norichika Sago, Leor Barack, and Steven L. Detweiler · 2008
Cited alongside, same era.
Abhay G. Shah, John L. Friedman, and Tobias S. Keidl · 2012
Later among the works it cites.
A Generic effective source for scalar self-force calculations
Barry Wardell, Ian Vega, Jonathan Thornburg, and Peter Diener · 2012
Later among the works it cites.
The Branch Cut and Quasi-normal Modes at Large Imaginary Frequency in Schwarzschild Space-time
Marc Casals and Adrian Ottewill · 2012
Later among the works it cites.
Probes of Strong-field Gravity
Leo Chaim Stein · 2012
Later among the works it cites.
Self-forced gravitational waveforms for Extreme and Intermediate mass ratio inspirals
Kristen A. Lackeos and Lior M. Burko · 2012
Later among the works it cites.
Transient resonances in the inspirals of point particles into black holes
Eanna E. Flanagan and Tanja Hinderer · 2012
Later among the works it cites.
The harmonic structure of generic Kerr orbits
Rebecca Grossman, Janna Levin, and Gabe Perez-Giz · 2012
Later among the works it cites.
Resonances in Extreme Mass-Ratio Inspirals: Asymptotic and Hyperasymptotic Analysis
Jonathan Gair, Nicolas Yunes, and Carl M Bender · 2012
Later among the works it cites.
eLISA: Astrophysics and cosmology in the millihertz regime
P. Amaro-Seoane, S. Aoudia, S. Babak, P. Binétruy, E. Berti, A. Bohé, C. Caprini, M. Colpi, N. J. Cornish, K. Danzmann, J.-F. Dufaux, J. Gair, I. Hinder, O. Jennrich, P. Jetzer, A. Klein, R. N. Lang, A. Lobo, T. Littenberg, S. T. McWilliams, G. Nelemans, A. Petiteau, E. K. Porter, B. F. Schutz, A. Sesana, R. Stebbins, T. Sumner, M. Vallisneri, S. Vitale, M. Volonteri, H. Ward, and B. Wardell · 2013
Later among the works it cites.
Impact of the second-order self-forces on the dephasing of the gravitational waves from quasicircular extreme mass-ratio inspirals
Soichiro Isoyama, Ryuichi Fujita, Norichika Sago, Hideyuki Tagoshi, and Takahiro Tanaka · 2013
Later among the works it cites.
Self-force gravitational waveforms for extreme and intermediate mass ratio inspirals. II: Importance of the second-order dissipative effect
Lior M. Burko and Gaurav Khanna · 2013
Later among the works it cites.
Periastron Advance in Spinning Black Hole Binaries: Gravitational Self-Force from Numerical Relativity
Alexandre Le Tiec, Alessandra Buonanno, Abdul H. Mroué, Harald P. Pfeiffer, Daniel A. Hemberger, et al · 2013
Later among the works it cites.
Self force from equivalent periodic sources
Barak Kol · 2013
Later among the works it cites.
Self-Force and Green Function in Schwarzschild spacetime via Quasinormal Modes and Branch Cut
Marc Casals, Sam Dolan, Adrian C. Ottewill, and Barry Wardell · 2013
Later among the works it cites.
Scalar self-force for eccentric orbits around a Schwarzschild black hole
Ian Vega, Barry Wardell, Peter Diener, Samuel Cupp, and Roland Haas · 2013
Later among the works it cites.
Electromagnetic self-force on a static charge in Schwarzschild–de Sitter spacetimes
Joseph Kuchar, Eric Poisson, and Ian Vega · 2013
Later among the works it cites.
Self-force as a cosmic censor
Peter Zimmerman, Ian Vega, Eric Poisson, and Roland Haas · 2013
Later among the works it cites.
Metric perturbations from eccentric orbits on a Schwarzschild black hole: I. Odd-parity Regge-Wheeler to Lorenz gauge transformation and two new methods to circumvent the Gibbs phenomenon
Seth Hopper and Charles R. Evans · 2013
Later among the works it cites.
Frequency-domain algorithm for the Lorenz-gauge gravitational self-force
Sarp Akcay, Niels Warburton, and Leor Barack · 2013
Later among the works it cites.
Self-force via m m -mode regularization and 2+1D evolution: III. Gravitational field on Schwarzschild spacetime
Sam R. Dolan and Leor Barack · 2013
Later among the works it cites.
Superradiant instabilities of rotating black holes in the time domain
Sam R. Dolan · 2013
Later among the works it cites.
Faster computation of adiabatic extreme mass-ratio inspirals using resonances
Rebecca Grossman, Janna Levin, and Gabe Perez-Giz · 2013
Later among the works it cites.
Evolution of the Carter constant for resonant inspirals into a Kerr black hole: I. The scalar case
Soichiro Isoyama, Ryuichi Fujita, Hiroyuki Nakano, Norichika Sago, and Takahiro Tanaka · 2013
Later among the works it cites.
Theory of post-Newtonian radiation and reaction
Ofek Birnholtz, Shahar Hadar, and Barak Kol · 2013
Later among the works it cites.
Self-force on an arbitrarily coupled static scalar particle in a wormhole space-time
Peter Taylor · 2013
Later among the works it cites.
The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
Alexandre Le Tiec · 2014
Later among the works it cites.
A practical, covariant puncture for second-order self-force calculations
Adam Pound and Jeremy Miller · 2014
Later among the works it cites.
Resonantly enhanced and diminished strong-field gravitational-wave fluxes
Eanna E. Flanagan, Scott A. Hughes, and Uchupol Ruangsri · 2014
Later among the works it cites.
Self-force via Green functions and worldline integration
Barry Wardell, Chad R. Galley, Anil Zenginoglu, Marc Casals, Sam R. Dolan, et al · 2014
Later among the works it cites.
Applying the effective-source approach to frequency-domain self-force calculations
Niels Warburton and Barry Wardell · 2014
Later among the works it cites.
High-order expansions of the Detweiler-Whiting singular field in Kerr spacetime
Anna Heffernan, Adrian Ottewill, and Barry Wardell · 2014
Later among the works it cites.
Self force on an accelerated particle
Thomas M. Linz, John L. Friedman, and Alan G. Wiseman · 2014
Later among the works it cites.
Scalar self-force for highly eccentric orbits in Kerr spacetime
Jonathan Thornburg · 2014
Later among the works it cites.
Gravitational self-torque and spin precession in compact binaries
Sam R. Dolan, Niels Warburton, Abraham I. Harte, Alexandre Le Tiec, Barry Wardell, et al · 2014
Later among the works it cites.
Gravitational self-force from radiation-gauge metric perturbations
Adam Pound, Cesar Merlin, and Leor Barack · 2014
Later among the works it cites.
Lorenz gauge gravitational self-force calculations of eccentric binaries using a frequency domain procedure
Thomas Osburn, Erik Forseth, Charles R. Evans, and Seth Hopper · 2014
Later among the works it cites.
Fast prediction and evaluation of gravitational waveforms using surrogate models
Scott E. Field, Chad R. Galley, Jan S. Hesthaven, Jason Kaye, and Manuel Tiglio · 2014
Later among the works it cites.
Gravitational Self-Force Correction to the Innermost Stable Circular Equatorial Orbit of a Kerr Black Hole
Soichiro Isoyama, Leor Barack, Sam R. Dolan, Alexandre Le Tiec, Hiroyuki Nakano, et al · 2014
Later among the works it cites.
Finding high-order analytic post-Newtonian parameters from a high-precision numerical self-force calculation
Abhay G Shah, John L Friedman, and Bernard F Whiting · 2014
Later among the works it cites.
Gravitational-wave flux for a particle orbiting a Kerr black hole to 20th post-Newtonian order: a numerical approach
Abhay G. Shah · 2014
Later among the works it cites.
Analytic determination of the eight-and-a-half post-Newtonian self-force contributions to the two-body gravitational interaction potential
Donato Bini and Thibault Damour · 2014
Later among the works it cites.
Two-body gravitational spin-orbit interaction at linear order in the mass ratio
Donato Bini and Thibault Damour · 2014
Later among the works it cites.
Gravitational self-force corrections to two-body tidal interactions and the effective one-body formalism
Donato Bini and Thibault Damour · 2014
Later among the works it cites.
A smoother effective source for scalar self-force simulations
Peter Diener, Ian Vega, and Barry Wardell · 2014
Later among the works it cites.
Census of transient orbital resonances encountered during binary inspiral
Uchupol Ruangsri and Scott A. Hughes · 2014
Later among the works it cites.
Conditions for Sustained Orbital Resonances in Extreme Mass Ratio Inspirals
Maarten van de Meent · 2014
Later among the works it cites.
Resonantly enhanced kicks from equatorial small mass-ratio inspirals
Maarten van de Meent · 2014
Later among the works it cites.
Gravity Waves from Extreme-Mass-Ratio Plunges into Kerr Black Holes
Shahar Hadar, Achilleas P. Porfyriadis, and Andrew Strominger · 2014
Later among the works it cites.
Action for reaction in general dimension
Ofek Birnholtz and Shahar Hadar · 2014
Later among the works it cites.
Radiation reaction at the level of the action
Ofek Birnholtz, Shahar Hadar, and Barak Kol · 2014
Later among the works it cites.
Self-force on a charge outside a five-dimensional black hole
Matthew J.S. Beach, Eric Poisson, and Bernhard G. Nickel · 2014
Later among the works it cites.
Propagation of Test Particles and Scalar Fields on a Class of Wormhole Space-Times
Peter Taylor · 2014
Later among the works it cites.
Self force on a scalar charge in Kerr spacetime: inclined circular orbits
Niels Warburton · 2015
Closest in time.
Tidal invariants for compact binaries on quasi-circular orbits
Sam R Dolan, Patrick Nolan, Adrian C Ottewill, Niels Warburton, and Barry Wardell · 2015
Closest in time.
Self-force from reconstructed metric perturbations: numerical implementation in Schwarzschild spacetime
Cesar Merlin and Abhay G. Shah · 2015
Closest in time.
Orbital resonances around Black holes
Jeandrew Brink, Marisa Geyer, and Tanja Hinderer · 2015
Closest in time.
Ballistic orbits in Schwarzschild space-time and gravitational waves from EMR binary mergers
G. d’Ambrosi and J.W. van Holten · 2015
Closest in time.
Comments on initial conditions for the Abraham–Lorentz(–Dirac) equation
Ofek Birnholtz · 2015
Closest in time.