Equations of motion for a class of space-time singularities.

Physics

Scientific paper

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Relativity:Space-Time

Scientific paper

The relation between field equations and the motion of space-time singularities is discussed. Conditions are found for the validity of the Infeld-Plebański equations of motion in the case of Robinson-Trautman space-times. The covariance is studied, and it is shown that covariance with respect to coordinate transformations, slightly more general than linear ones, is possible only in case of spherical symmetry.

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