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We derive a Hamiltonian for an extended spinning test body in a curved background spacetime, to quadratic order in the spin, in terms of three-dimensional position, momentum, and spin variables having canonical Poisson brackets.
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2013
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D. Bini, C. Cherubini, A. Geralico, and R. T. Jantzen, “Massless Spinning Test Particles in Algebraically Special Vacuum Space-Times,” International Journal of Modern Physics D 15
2006
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2008
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2008
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L. Barack, “Gravitational self-force: Orbital mechanics beyond geodesic motion,” General Relativity, Cosmology and Astrophysics , Fundam. Theor. Phys. 177
2014
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2015
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W. G. Dixon, “The New Mechanics of Myron Mathisson and Its Subsequent Development,” Proceedings, 524th WE-Heraeus-Seminar: Equations of Motion in Relativistic Gravity (EOM 2013) , Fund. Theor. Phys. 179
2015
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V. Vaidya, “Gravitational spin Hamiltonians from the S matrix,” Phys. Rev. D91
2015
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L. S. Collaboration and V. Collaboration, “Observation of gravitational waves from a binary black hole merger,” Phys. Rev. Lett. 116
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