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We derive the equations of motion of an extended test body in the context of Einstein's theory of gravitation.
Die Elektrodynamik des rotierenden Elektrons
J. Frenkel · 1926
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Angular momentum, mass-center and the inverse square law in special relativity
J. L. Synge · 1935
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Neue Mechanik materieller Systeme
M. Mathisson · 1937
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Drehimpuls und Schwerpunktsatz in der relativistischen Mechanik
A. Papapetrou · 1939
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The mass-centre in the restricted theory of relativity and its connexion with the quantum theory of elementary particles
M. H. L. Pryce · 1948
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On the definition of the centre of gravity of an arbitrary closed system in the theory of relativity
C. Møller · 1949
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Spinning test-particles in General Relativity. I
A. Papapetrou · 1951
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Spinning test-particles in General Relativity. II
E. Corinaldesi and A. Papapetrou · 1951
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On the physical significance of the Riemann tensor
F. A. E. Pirani · 1956
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Motion of multipole particles in General Relativity theory
W. Tulczyjew · 1959
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Beitrag zum Bewegungsproblem in der Einsteinschen Gravitationstheorie
W. Beiglböck · 1965
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The center-of-mass in Einstein’s theory of gravitation
W. Beiglböck · 1967
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Regularization and renormalization of gauge fields
G. ’t Hooft and M. Veltman · 1972
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Lowest order ”divergent” graphs in v-dimensional space
C. G. Bollini and J. J. Giambiagi · 1972
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Dynamics of extended bodies in General Relativity. III. Equations of motion
W. G. Dixon · 1974
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Gravitational radiation, radiation damping, and the fast-motion approximation
J. L. Anderson · 1976
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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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Extended bodies in General Relativity: Their description and motion
W. G. Dixon · 1979
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Conserved quantities of spinning test particles in General Relativity I
R. Rüdiger · 1981
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Conserved quantities of spinning test particles in General Relativity II
R. Rüdiger · 1983
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Gravitational radiation from post-Newtonian sources and inspiralling compact binaries
L. Blanchet · 2006
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Higher-order spin effects in the dynamics of compact binaries. I. Equations of motion
G. Faye, L. Blanchet, and A. Buonanno · 2006
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Higher-order spin effects in the dynamics of compact binaries. II. Radiation field
L. Blanchet, A. Buonanno, and G. Faye · 2006
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The post-Newtonian approximation for relativistic compact binaries
T. Futamase and Y. Itoh · 2007
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Erratum: Higher-order spin effects in the dynamics of compact binaries. II. Radiation field
L. Blanchet, A. Buonanno, and G. Faye · 2007
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Mathisson’s new mechanics: Its aims and realisation
W. G. Dixon · 2008
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Gravitational waves induced by a spinning particle falling into a rotating black hole
Y. Mino, M. Shibata, and T. Tanaka · 1996
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Gravitational waves from a spinning particle in circular orbits around a rotating black hole
T. Tanaka, Y. Mino, M. Sasaki, and M. Shibata · 1996
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Post-Newtonian approximation - Its foundation and applications
H. Asada and T. Futamase · 1997
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Gravitational wave astronomy
B. F. Schutz · 1999
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Gravitational field and equations of motion of spinning compact binaries to 2.5 post-Newtonian order
H. Tagoshi, A. Ohashi, and B. J. Owen · 2001
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Dimensional regularization of the gravitational interaction of point masses
T. Damour, P. Jaranowski, and G. Schäfer · 2001
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Next to leading order spin(1)spin(1) effects in the motion of inspiralling compact binaries
R. A. Porto and I. Z. Rothstein · 2008
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Higher-order-in-spin interaction Hamiltonians for binary black holes from Poincaré invariance
S. Hergt and G. Schäfer · 2008
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Relativistic closed-Form Hamiltonian for many-body gravitating systems in the post-Minkowskian approximation
T. Ledvinka, G. Schäfer, and J. Bičák · 2008
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Dimensional regularization of the gravitational interaction of point masses in the ADM formalism
T. Damour, P. Jaranowski, and G. Schäfer · 2008
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Multipolar approximation schemes and the motion of extended bodies in General Relativity
D. Puetzfeld · 2009
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Motion of extended bodies in General Relativity
D. Puetzfeld and Y. N. Obukhov · 2009
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Comment on two recent papers regarding next-to-leading order spin-spin effects in gravitational interaction
J. Steinhoff and G. Schäfer · 2009
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Canonical formulation of gravitating spinning objects at 3.5 post-Newtonian order
J. Steinhoff and H. Wang · 2010
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