Radiative 3.5 post-Newtonian ADM Hamiltonian for many-body point-mass systems

Details Radiative 3.5 post-Newtonian ADM Hamiltonian for many-body point-mass systems Radiative 3.5 post-Newtonian ADM Hamiltonian for many-body point-mass systems

Apr 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phrvd..55.4712j&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 55, Issue 8, 15 April 1997, pp.4712-4722

Physics

40

Post-Newtonian Approximation, Perturbation Theory, Related Approximations, Wave Generation And Sources, Neutron Stars, Black Holes

Scientific paper

We calculate to post3.5-Newtonian order of approximation of general relativity the radiation-reaction part of the ADM Hamiltonian for a many-body system of nonspinning point masses. The Hamiltonian is applied to the derivation of the gravitational energy loss of a gravitationally bound two-body system in quasielliptic motion. Agreement with the known result for the time-averaged energy loss is obtained to order (v/c)7.

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