Approximate radiative solutions of the Einstein equations.

Details Approximate radiative solutions of the Einstein equations. Approximate radiative solutions of the Einstein equations.

May 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..399k&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 5, pp.399-417

Physics

Scientific paper

In this paper the external field of a bounded source emitting gravitational radiation has been considered. A successive approximation method has been used to integrate the Einstein equations in Bondi's coordinates. A method of separation of angular variables has been worked out and the approximate Einstein equations have been reduced to the key equations (3.8) (3.10). The losses of mass, momentum, and angular momentum due to gravitational multipole radiation have been found. It has been demonstrated that in the case of proper treatment a real mass occurs instead of a mass aspect in a solution of the Einstein equations. In Appendix C Bondi's news function has been given in terms of sources.

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