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Phys. Rev. Lett. 45, 1741–1744 (1980)

Gravitational Radiation Quadrupole Formula is Valid for Gravitationally Interacting Systems

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Martin Walker
Institute of Theoretical Physics, Department of Physics, Stanford University, Stanford, California 94305, and Max Planck Institut fuer Physik und Astrophysik, D8046 Garching bei Muenchen, Federal Republic of Germany

Clifford M. Will
Institute of Theoretical Physics, Department of Physics, Stanford University, Stanford, California 94305

Received 22 May 1980; published in the issue dated 1 December 1980

An argument is presented for the validity of the quadrupole formula for gravitational radiation energy loss in the far field of nearly Newtonian (e.g., binary stellar) systems. This agrument differs from earlier ones in that it determines beforehand the formal accuracy of approximation required to describe gravitationally self-interacting systems, uses the corresponding approximate equation of motion explicitly, and evaluates the appropriate asymptotic quantities by matching along the correct space-time light cones.

© 1980 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.45.1741
DOI:
10.1103/PhysRevLett.45.1741
PACS:
04.30.+x