Abstract
We examine the problem of deducing the geodesic motion of test particles from Einstein's vacuum field equations and its extension to include gravitational radiation reaction. In the latter case we obtain an equation of motion for a particle which incorporates radiation reaction of the electrodynamical type, but due to shearing radiation, together with a mass-loss formula of the Bondi-Sachs type.
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Work supported in part by the National Science Foundation under Grant PHY-8306104.
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Hogan, P.A., Robinson, I. Gravitational radiation reaction on the motion of particles in general relativity. Found Phys 16, 455–464 (1986). https://doi.org/10.1007/BF01882729
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DOI: https://doi.org/10.1007/BF01882729