Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..335p&link_type=abstract
General Relativity and Gravitation, vol. 13, Apr. 1981, p. 335-359.
Astronomy and Astrophysics
Astrophysics
25
Astrophysics, Conservation Laws, Equations Of Motion, Fluid Mechanics, Gravitational Waves, Relativity, Energy Dissipation, Gravitation Theory, Metric Space, Minkowski Space, Space-Time Functions, Three Dimensional Motion
Scientific paper
Consideration is given to the problem of deriving the equations of motion for a slow-moving body from the field equations taking into account the effects connected with the emission of gravitational radiation. For the case of an arbitrary distribution of a perfect fluid in motion with a velocity much less than the speed of light in a weak gravitational field, it is shown that the equations may be obtained from the field equation and the conservation law of energy and momentum. The field equation is split into equations for the field variables which are then solved to the orders necessary for the inclusion of radiation effects. It is found that the radiation reaction force manifests itself immediately after the post-post-Newtonian approximation and leads to a formula for energy loss from the system equivalent to that of Chandrasekhar and Esposito (1970).
Linet Bernard
Papapetrou A.
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