The theory of relativity predicts that masses being accelerated should emit ``gravitational radiation'' in the same way that charged particles (like electrons) emit electromagnetic radiation when they are accelerated.
Gravitational waves are emitted by accelerating masses.
Electromagnetic waves are produced when charges are accelerated by electric or magnetic fields. Gravitational waves are produced when masses are accelerated by gravitational fields.
Gravitational radiation has not yet been observed. However, we must keep in mind that just because we have not observed them, that does not mean they do not exist. Before 1933, radio waves had not been observed, but surely they had been there all along.
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