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Speaker |
Buonanno, Alessandra |
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Co-autors |
Enrico Barausse and Etienne Racine |
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Talk Title |
Hamiltonian of a spinning test-particle in curved spacetime |
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Abstract |
We compute the unconstrained Hamiltonian of a spinning test-particle in curved spacetime at linear order in the spin of the test-particle. The equations of motion of this unconstrained Hamiltonian coincide with the Mathisson-Papapetrou-Pirani equations of motion. We then employ the well-known formalism of Dirac brackets to derive the constrained Hamiltonian and the corresponding phase-space algebra in the so-called Newton-Wigner spin supplementary condition, and find that the phase-space algebra is canonical. Furthermore, considering a Kerr spacetime, we find that the constrained Hamiltonian in the Newton-Wigner spin supplementary condition reproduces, when PN expanded, the Arnowitt-Deser-Misner canonical Hamiltonian computed in PN theory in the test-particle limit. |
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