Radiation reaction and energy loss in the post-Newtonian approximation of general relativity

Details Radiation reaction and energy loss in the post-Newtonian approximation of general relativity Radiation reaction and energy loss in the post-Newtonian approximation of general relativity

Aug 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..777b&link_type=abstract

General Relativity and Gravitation, vol. 13, Aug. 1981, p. 777-793. Research supported by the Deutsche Forschungsgemeinschaft.

Mathematics

20

Approximation, Energy Dissipation, Gravitational Waves, Kepler Laws, Radiation Effects, Relativity, Energy Spectra, Equations Of Motion, Minkowski Space, Operators (Mathematics), Orbital Mechanics, Quadrupoles

Scientific paper

The radiation reaction force is calculated within the Anderson-Decanio scheme of a post-Newtonian expansion of general relativity modified such that no infinite expressions appear up to the order considered. It is shown that for quasi-periodic motions of bodies in bound systems, i.e., motions which differ little from Keplerian motion, the dominant contribution to the change of the Newtonian energy of the system equals the power loss given by Einstein's quadrupole formula.

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