RADIATIVE 3.5-POST-NEWTONIAN ADM HAMILTONIAN FOR MANY-BODY POINT-MASSSYSTEMS

Citation
P. Jaranowski et G. Schafer, RADIATIVE 3.5-POST-NEWTONIAN ADM HAMILTONIAN FOR MANY-BODY POINT-MASSSYSTEMS, Physical review. D. Particles and fields, 55(8), 1997, pp. 4712-4722
Citations number
18
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
55
Issue
8
Year of publication
1997
Pages
4712 - 4722
Database
ISI
SICI code
0556-2821(1997)55:8<4712:R3AHFM>2.0.ZU;2-A
Abstract
We calculate to post(3.5)-Newlonian order of approximation of general relativity the radiation-reaction part of the ADM Hamiltonian for a ma ny-body system of nonspinning point masses. The Hamiltonian is applied to the derivation of the gravitational energy loss of a gravitational ly bound two-body system in quasielliptic motion. Agreement with the k nown result for the time-averaged energy loss is obtained to order (up silon/c)(7).