MG12 - Talk detail |
Participant |
Buonanno, Alessandra | |
Institution |
University of Maryland - Department of Physics - College Park - MD - USA | |
Session |
Talk |
Abstract |
ANM1 |
Hamiltonian of a spinning test-particle in curved spacetime |
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. |
ANM2-ANM3 |
Modeling binary black-hole coalescences using the effective-one-body approach |
We compare the effective-one-body analytical model to numerical-relativity simulations of non-spinning and spinning black-hole binaries and discuss how to improve and calibrate the analytical model to achieve faithful templates. |