Do freely falling bodies radiate

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Cosmic Dust, Einstein Equations, Free Fall, Gravitational Waves, Astronomical Models, Cosmology, Schwarzschild Metric, Space-Time Functions

Scientific paper

A solution of Einstein's equations for dust, which is matter under no forces other than gravity, is shown as an example of a solution for freely falling matter that is not symmetric. An argument is given showing that no gravitational radiation passes through a region within a constant-radius sphere. This is not to say that freely falling matter never radiates, but the argument shows that there exists a class of nonradiative motions of dust in a space-time without Killing vector symmetries.

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