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This article serves as a pedagogical introduction to the problem of motion in classical field theories.
Classical theory of radiating electrons
P. A. M. Dirac · 1938
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Radiation damping in a gravitational field
B. S. DeWitt and R. W. Brehme · 1960
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Relativity: the general theory
J. L. Synge · 1960
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The Classical Theories of Radiation Reaction
T. Erber · 1961
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Lorentz-invariant equations of motion of point masses in the general theory of relativity
Peter Havas and Joshua N. Goldberg · 1962
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Description of extended bodies by multipole moments in special relativity
W. G. Dixon · 1967
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W. Shockley and R. P. James · 1967
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S. Coleman and J. H. van Vleck · 1968
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R. A. Matzner · 1968
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A vierbein formalism of radiation damping
J. M. Hobbs · 1968
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Limits of spacetimes
R. Geroch · 1969
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Dynamics of extended bodies in general relativity. I. Momentum and angular momentum
W. G. Dixon · 1970
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Dynamics of extended bodies in general relativity. II. Moments of the charge-current vector
W. G. Dixon · 1970
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Dynamics of Extended Bodies in General Relativity. III. Equations of Motion
W. G. Dixon · 1974
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The wave equation on a curved space-time
F.G. Friedlander · 1975
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The classical theory of fields
L. D. Landau and E. M. Lifshitz · 1975
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Dynamics of extended bodies in general relativity center-of-mass description and quasirigidity
J. Ehlers and E. Rudolph · 1977
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Special relativity: the foundation of macroscopic physics
W. G. Dixon · 1978
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Extended bodies in general relativity: their description and motion
W. G. Dixon · 1979
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The center of mass in general relativity
R. Schattner · 1979
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The uniqueness of the center of mass in general relativity
R. Schattner · 1979
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Isolated systems in general relativity
J. Ehlers · 1980
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Relativistic dynamics of extended bodies and polarized media: An eccentric approach
I. Bailey and W. Israel · 1980
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Properties of extended bodies in spacetimes admitting isometries
R. Schattner and M. Streubel · 1981
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The connection between local and asymptotic structures for isolated gravitating systems with isometries
M. Streubel and R. Schattner · 1981
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General relativity
R. M. Wald · 1984
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The problem of motion in Newtonian and Einsteinian gravity
T. Damour · 1989
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Gravitational self-force in extreme mass-ratio inspirals
L. Barack · 2009
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Rigorous derivation of electromagnetic self-force
S. E. Gralla, A. I. Harte, and R. M. Wald · 2009
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Momentum flow in black-hole binaries. I. Post-Newtonian analysis of the inspiral and spin-induced bobbing
D. Keppel, D. A. Nichols, Y. Chen, and K. S. Thorne · 2009
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Flat deformation theorem and symmetries in spacetime
J. Llosa and J. Carot · 2009
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Effective stress-energy tensors, self-force and broken symmetry
A. I. Harte · 2010
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Bobbing and kicks in electromagnetism and gravity
S. E. Gralla, A. I. Harte, and R. M. Wald · 2010
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The non-linear field theories of mechanics
C. Truesdell and W. Noll · 1992
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Mathematical foundations of elasticity
J. E. Marsden and T. J. R. Hughes · 1994
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Classical Electrodynamics
J. D. Jackson · 1999
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Axiomatic approach to radiation reaction of scalar point particles in curved spacetime
T. C. Quinn · 2000
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Self-force via a Green’s function decomposition
S. Detweiler and B. F. Whiting · 2003
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Dynamics of charged particles and their radiation field
H. Spohn · 2004
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Momentum flow in black-hole binaries. II. Numerical simulations of equal-mass, head-on mergers with antiparallel spins
G. Lovelace, Y. Chen, M. Cohen, J. D. Kaplan, D. Keppel, K. D. Matthews, D. A. Nichols, M. A. Scheel, and U. Sperhake · 2010
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Self-consistent gravitational self-force
A. Pound · 2010
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The motion of point particles in curved spacetime
Eric Poisson, Adam Pound, and Ian Vega · 2011
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Relativistic Celestial Mechanics of the Solar System
S. Kopeikin, M. Efroimsky, and G. Kaplan · 2011
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Mechanics of extended masses in general relativity
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Relative equilibria of the curved N-Body problem
F. Diacu · 2012
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Spacetime dynamics of spinning particles — exact gravito-electromagnetic analogies
L. F. O. Costa, J. Natário, and M. Zilhão · 2012
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Black-hole horizons as probes of black-hole dynamics. II. Geometrical insights
J. L. Jaramillo, R. P. Macedo, P. Moesta, and L. Rezzolla · 2012
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Second-Order Gravitational Self-Force
A. Pound · 2012
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Second-order gravitational self-force
S. E. Gralla · 2012
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Quasilocal angular momentum and center of mass in general relativity
P.-N. Chen, M.-T. Wang, and S.-T. Yau · 2013
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Conserved quantities in general relativity: from the quasi-local level to spatial infinity
P.-N. Chen, M.-T. Wang, and S.-T. Yau · 2013
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Gravitational radiation from post-newtonian sources and inspiralling compact binaries
Luc Blanchet · 2014
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