Fetching the paper…
Reading the bibliography…
The present thesis aims at an extension of the canonical formalism of Arnowitt, Deser, and Misner from self-gravitating point-masses to objects with spin.
E. Noether, “Invariante Variationsprobleme,” Nachr. Akad. Wiss. Gött
1918
Earlier work this paper cites.
J. Frenkel, “Die Elektrodynamik des rotierenden Elektrons,” Z. Phys
1926
Earlier work this paper cites.
P. Noordhoff, Groningen, 1929
A. D. Fokker, Relativiteitstheorie · 1929
Earlier work this paper cites.
C. Lanczos, “Über eine invariante Formulierung der Erhaltungssätze in der allgemeinen Relativitätstheorie,” Z. Phys
1929
Earlier work this paper cites.
L. Rosenfeld, “Zur Quantelung der Wellenfelder,” Ann. Phys. (Berlin)
1930
Earlier work this paper cites.
K. Kyrian and O. Semerák, “Spinning test particles in a Kerr field — II,” Mon. Not. R. Astron. Soc
1932
Earlier work this paper cites.
J. L. Synge, “Angular momentum, mass-center and the inverse square law in special relativity,” Phys. Rev
1935
Earlier work this paper cites.
M. H. L. Pryce, “Commuting co-ordinates in the new field theory,” Proc. R. Soc. A
1935
Earlier work this paper cites.
M. Mathisson, “Neue Mechanik materieller Systeme,” Acta Phys. Pol
1937
Earlier work this paper cites.
A. Einstein, L. Infeld, and B. Hoffmann, “The gravitational equations and the problem of motion,” Ann. Math
1938
Earlier work this paper cites.
M. H. L. Pryce, “The mass center in the restricted theory of relativity and its connection with the quantum theory of elementary particles,” Proc. R. Soc. A
1948
Earlier work this paper cites.
C. Møller, “Sur la dynamique des systèmes ayant un moment angulaire interne,” Ann. Inst. H. Poincaré
1949
Earlier work this paper cites.
T. D. Newton and E. P. Wigner, “Localized states for elementary systems,” Rev. Mod. Phys
1949
Earlier work this paper cites.
P. G. Bergmann, “Non-linear field theories,” Phys. Rev
1949
Earlier work this paper cites.
P. G. Bergmann and J. H. M. Brunings, “Non-linear field theories II. Canonical equations and quantization,” Rev. Mod. Phys
1949
Earlier work this paper cites.
Herman, Paris, 1950
L. Schwartz, Théorie des Distributions · 1950
Earlier work this paper cites.
P. A. M. Dirac, “Generalized Hamiltonian dynamics,” Canad. J. Math
1950
Earlier work this paper cites.
P. G. Bergmann, R. Penfield, R. Schiller, and H. Zatzkis, “The Hamiltonian of the general theory of relativity with electromagnetic field,” Phys. Rev
1950
Earlier work this paper cites.
A. Papapetrou, “Spinning test-particles in general relativity. I,” Proc. R. Soc. A
1951
Earlier work this paper cites.
E. Corinaldesi and A. Papapetrou, “Spinning test-particles in general relativity. II,” Proc. R. Soc. A
1951
Earlier work this paper cites.
P. A. M. Dirac, “The Hamiltonian form of field dynamics,” Canad. J. Math
1951
Earlier work this paper cites.
J. L. Anderson and P. G. Bergmann, “Constraints in covariant field theories,” Phys. Rev
1951
Earlier work this paper cites.
P. G. Bergmann and I. Goldberg, “Dirac bracket transformations in phase space,” Phys. Rev
1955
Earlier work this paper cites.
F. A. E. Pirani, “On the physical significance of the Riemann tensor,” Acta Phys. Pol
1956
Earlier work this paper cites.
P. A. M. Dirac, “Generalized Hamiltonian dynamics,” Proc. R. Soc. A
1958
Earlier work this paper cites.
J. L. Anderson, “Reduction of primary constraints in generally covariant field theories,” Phys. Rev
1958
Earlier work this paper cites.
P. A. M. Dirac, “The theory of gravitation in Hamiltonian form,” Proc. R. Soc. A
1958
Earlier work this paper cites.
W. M. Tulczyjew, “Motion of multipole particles in general relativity theory,” Acta Phys. Pol
1959
Earlier work this paper cites.
R. L. Arnowitt, S. Deser, and C. W. Misner, “Dynamical structure and definition of energy in general relativity,” Phys. Rev
1959
Earlier work this paper cites.
P. A. M. Dirac, “Fixation of coordinates in the Hamiltonian theory of gravitation,” Phys. Rev
1959
Earlier work this paper cites.
R. L. Arnowitt, S. Deser, and C. W. Misner, “Canonical variables for general relativity,” Phys. Rev
1960
Earlier work this paper cites.
R. L. Arnowitt, S. Deser, and C. W. Misner, “Energy and the criteria for radiation in general relativity,” Phys. Rev
1960
Earlier work this paper cites.
R. L. Arnowitt, S. Deser, and C. W. Misner, “Gravitational-electromagnetic coupling and the classical self-energy problem,” Phys. Rev
1960
Earlier work this paper cites.
R. L. Arnowitt, S. Deser, and C. W. Misner, “Consistency of the canonical reduction of General Relativity,” J. Math. Phys
1960
Earlier work this paper cites.
T. Kimura, “Fixation of physical space-time coordinates and equation of motion of two-body problem,” Prog. Theor. Phys
1961
Earlier work this paper cites.
J. B. Hughes, “A generalized Hamiltonian dynamics for relativistic particles with spin — I,” Nuovo Cim. Suppl
1961
Earlier work this paper cites.
R. L. Arnowitt, S. Deser, and C. W. Misner, “Coordinate invariance and energy expressions in general relativity,” Phys. Rev
1961
Earlier work this paper cites.
Pergamon Press, New York, 1962
B. Tulczyjew and W. M. Tulczyjew, “On multipole formalism in general relativity,” in Recent Developments in General Relativity · 1962
Earlier work this paper cites.
John Wiley, New York, 1962
R. L. Arnowitt, S. Deser, and C. W. Misner, “The dynamics of general relativity,” in Gravitation: An Introduction to Current Research · 1962
Earlier work this paper cites.
Pergamon Press, New York, 1962
P. A. M. Dirac, “Interacting gravitational and spinor fields,” in Recent Developments in General Relativity · 1962
Earlier work this paper cites.
T. W. B. Kibble, “Canonical variables for the interacting gravitational and Dirac fields,” J. Math. Phys
1963
Earlier work this paper cites.
R. P. Kerr, “Gravitational field of a spinning mass as an example of algebraically special metrics,” Phys. Rev. Lett
1963
Earlier work this paper cites.
J. S. Schwinger, “Quantized gravitational field,” Phys. Rev
1963
Earlier work this paper cites.
J. Schwinger, “Quantized gravitational field. II,” Phys. Rev
1963
Earlier work this paper cites.
A. H. Taub, “Motion of test bodies in general relativity,” J. Math. Phys
1964
Earlier work this paper cites.
W. G. Dixon, “A covariant multipole formalism for extended test bodies in general relativity,” Nuovo Cim
1964
Earlier work this paper cites.
Yeshiva University Press, New York, 1964
P. A. M. Dirac, Lectures on Quantum Mechanics · 1964
Earlier work this paper cites.
Gordon and Breach, New York, 1964
B. S. DeWitt, “Dynamical theory of groups and fields,” in Relativity, Groups, and Topology, Les Houches 1963 · 1964
Earlier work this paper cites.
G. N. Fleming, “Covariant position operators, spin, and locality,” Phys. Rev
1965
Earlier work this paper cites.
1967
Earlier work this paper cites.
W. Beiglböck, “The center-of-mass in Einsteins theory of gravitation,” Commun. math. Phys
1967
Earlier work this paper cites.
B. S. DeWitt, “Quantum theory of gravity. I. The canonical theory,” Phys. Rev
1967
Earlier work this paper cites.
H. Goenner and K. Westpfahl, “Relativistische Bewegungsprobleme. II. Der starre Rotator,” Ann. Phys. (Berlin)
1967
Earlier work this paper cites.
K. Westpfahl, “Relativistische Bewegungsprobleme. VI. Rotator-Spinteilchen und allgemeine Relativitätstheorie,” Ann. Phys. (Berlin)
1969
Earlier work this paper cites.
J. Madore, “The equations of motion of an extended body in general relativity,” Ann. Inst. H. Poincaré A
1969
Earlier work this paper cites.
W. G. Dixon, “Dynamics of extended bodies in general relativity. I. Momentum and angular momentum,” Proc. R. Soc. A
1970
Earlier work this paper cites.
W. G. Dixon, “Dynamics of extended bodies in general relativity. II. Moments of the charge-current vector,” Proc. R. Soc. A
1970
Earlier work this paper cites.
G. ’t Hooft and M. J. G. Veltman, “Regularization and renormalization of gauge fields,” Nucl. Phys. B
1972
Earlier work this paper cites.
C. G. Bollini and J. J. Giambiagi, “Lowest order divergent graphs in ν \nu -dimensional space,” Phys. Lett. B
1972
Earlier work this paper cites.
H. P. Künzle, “Canonical dynamics of spinning particles in gravitational and electromagnetic fields,” J. Math. Phys
1972
Earlier work this paper cites.
C. Itzykson and A. Voros, “Classical electrodynamics of point particles,” Phys. Rev. D
1972
Earlier work this paper cites.
T. Kimura and T. Toiya, “Potential in the canonical formalism of gravity,” Prog. Theor. Phys
1972
Earlier work this paper cites.
W. G. Dixon, “The definition of multipole moments for extended bodies,” Gen. Relativ. Gravit
1973
Earlier work this paper cites.
T. Regge and C. Teitelboim, “Role of surface integrals in the Hamiltonian formulation of general relativity,” Ann. Phys. (N.Y.)
1974
Earlier work this paper cites.
A. J. Hanson and T. Regge, “The relativistic spherical top,” Ann. Phys. (N.Y.)
1974
Cited alongside, same era.
J. B. Hartle, “Tidal shapes and shifts on rotating black holes,” Phys. Rev. D
1974
Cited alongside, same era.
W. G. Dixon, “Dynamics of extended bodies in general relativity. III. Equations of motion,” Phil. Trans. R. Soc. A
1974
Cited alongside, same era.
T. Ohta, H. Okamura, T. Kimura, and K. Hiida, “Coordinate condition and higher order gravitational potential in canonical formalism,” Prog. Theor. Phys
1974
Cited alongside, same era.
I. Bailey and W. Israel, “Lagrangian dynamics of spinning particles and polarized media in general relativity,” Commun. math. Phys
1975
Cited alongside, same era.
L. Blanchet, T. Damour, and G. Esposito-Farèse, “Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates,” Phys. Rev. D
2004
Later among the works it cites.
P. Jaranowski and A. Królak, “Gravitational-wave data analysis,” Living Rev. Relativity
2005
Later among the works it cites.
J. M. Pons, “On Dirac’s incomplete analysis of gauge transformations,” Stud. Hist. Philos. Mod. Phys
2005
Later among the works it cites.
C. M. Will, “Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. III. Radiation reaction for binary systems with spinning bodies,” Phys. Rev. D
2005
Later among the works it cites.
C. Königsdörffer and A. Gopakumar, “Post-Newtonian accurate parametric solution to the dynamics of spinning compact binaries in eccentric orbits: The leading order spin-orbit interaction,” Phys. Rev. D
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1975
Cited alongside, same era.
B. M. Barker and R. F. O’Connell, “Gravitational two-body problem with arbitrary masses, spins, and quadrupole moments,” Phys. Rev. D
1975
Cited alongside, same era.
P. D. D’Eath, “Interaction of two black holes in the slow-motion limit,” Phys. Rev. D
1975
Cited alongside, same era.
S. Deser and C. J. Isham, “Canonical vierbein form of general relativity,” Phys. Rev. D
1976
Cited alongside, same era.
J. Geheniau and M. Henneaux, “Einstein-Dirac equations in suited tetrads,” Gen. Relativ. Gravit
1977
Cited alongside, same era.
J. Ehlers and E. Rudolph, “Dynamics of extended bodies in general relativity center-of-mass description and quasirigidity,” Gen. Relativ. Gravit
1977
Cited alongside, same era.
J. E. Nelson and C. Teitelboim, “Hamiltonian formulation of the theory of interacting gravitational and electron fields,” Ann. Phys. (N.Y.)
1978
Cited alongside, same era.
2005
Later among the works it cites.
M. Kramer, I. H. Stairs, R. N. Manchester, M. A. McLaughlin, A. G. Lyne, R. D. Ferdman, M. Burgay, D. R. Lorimer, A. Possenti, N. D’Amico, J. M. Sarkissian, G. B. Hobbs, J. E. Reynolds, P. C. C. Freire, and F. Camilo, “Tests of general relativity from timing the double pulsar”,” Science
2006
Later among the works it cites.
L. Blanchet, “Gravitational radiation from post-Newtonian sources and inspiralling compact binaries,” Living Rev. Relativity
2006
Later among the works it cites.
R. A. Porto, “Post-Newtonian corrections to the motion of spinning bodies in nonrelativistic general relativity,” Phys. Rev. D
2006
Later among the works it cites.
L. Blanchet, A. Buonanno, and G. Faye, “Higher-order spin effects in the dynamics of compact binaries. II. Radiation field,” Phys. Rev. D
2006
Later among the works it cites.
W. D. Goldberger and I. Z. Rothstein, “An effective field theory of gravity for extended objects,” Phys. Rev. D
2006
Later among the works it cites.
W. D. Goldberger and I. Z. Rothstein, “Dissipative effects in the worldline approach to black hole dynamics,” Phys. Rev. D
2006
Later among the works it cites.
G. Faye, L. Blanchet, and A. Buonanno, “Higher-order spin effects in the dynamics of compact binaries. I. Equations of motion,” Phys. Rev. D
2006
Later among the works it cites.
R. A. Porto and I. Z. Rothstein, “Calculation of the first nonlinear contribution to the general-relativistic spin-spin interaction for binary systems,” Phys. Rev. Lett
2006
Later among the works it cites.
L. Blanchet, A. Buonanno, and G. Faye, “Erratum: Higher-order spin effects in the dynamics of compact binaries. II. Radiation field,” Phys. Rev. D
2007
Later among the works it cites.
T. Futamase and Y. Itoh, “The post-Newtonian approximation for relativistic compact binaries,” Living Rev. Relativity
2007
Later among the works it cites.
H. Wang and C. M. Will, “Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. IV. Radiation reaction for binary systems with spin-spin coupling,” Phys. Rev. D
2007
Later among the works it cites.
2007
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
World Scientific, Singapore, 2008
T. Damour, P. Jaranowski, and G. Schäfer, “Dimensional regularization of the gravitational interaction of point masses in the ADM formalism,” in Proceedings of the 11th Marcel Grossmann Meeting on General Relativity · 2008
Later among the works it cites.
World Scientific, Singapore, 2008
D. C. Salisbury, “Rosenfeld, Bergmann, Dirac and the invention of constrained Hamiltonian dynamics,” in Proceedings of the 11th Marcel Grossmann Meeting on General Relativity · 2008
Later among the works it cites.
C. Rovelli, “Loop quantum gravity,” Living Rev. Relativity
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
W. G. Dixon, “Mathisson’s new mechanics: Its aims and realisation,” Acta Phys. Pol. B Suppl
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
2009
Later among the works it cites.
M. Vallisneri, “A LISA data-analysis primer,” Class. Quant. Grav
2009
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
F. A. E. Pirani, “Republication of: On the physical significance of the Riemann tensor,” Gen. Relativ. Gravit
2009
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
World Scientific, Singapore, 2010
J. Steinhoff, S. Hergt, and G. Schäfer, “ADM canonical formulation with spin and application to post-Newtonian approximations,” in Proceedings of the 12th Marcel Grossmann Meeting on General Relativity · 2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
M. Mathisson, “Republication of: New mechanics of material systems,” Gen. Relativ. Gravit
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
World Scientific, Singapore, 2010
D. L. Perrodin, “Subleading spin-orbit correction to the Newtonian potential in effective field theory formalism,” in Proceedings of the 12th Marcel Grossmann Meeting on General Relativity · 2010
Later among the works it cites.
2010
Later among the works it cites.
R. A. Porto and I. Z. Rothstein, “Erratum: Next to leading order spin(1)spin(1) effects in the motion of inspiralling compact binaries,” Phys. Rev. D
2010
Later among the works it cites.
Academia Nazionale dei Lincei, Roma, 1976
A. J. Hanson, T. Regge, and C. Teitelboim, Constrained Hamiltonian Systems · 2022
Closest in time.
R. L. Arnowitt, S. Deser, and C. W. Misner, “Republication of: The dynamics of general relativity,” Gen. Relativ. Gravit
2027
Closest in time.