Axially symmetric gravitational two-body problem of Cooperstock, Lim, and Hobill

Physics

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Falling Spheres, Gravitational Waves, Two Body Problem, Balls, Einstein Equations, Hydrostatics, Pressure Distribution, Quadrupoles

Scientific paper

Cooperstock, Lim, and Hobill have constructed and analyzed a model spacetime describing the head-on free-fall from rest of two fluid balls under their mutual gravitational attraction. These authors find a gravitational radiation energy flux having a different dependence on the parameters of the problem than would be expected on the basis of the quadrupole formula. It is shown that this dependence is due to their having incorrectly solved Einstein's gravitational field equations. The correct solution is consistent with the quadrupole formula.

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