Yes, the frequency & amplitude of gravitational waves are predicted by general relativity, depending very much on the details of the source. Supernovae & colliding neutron stars, & etc., they all have different spectral energy distributions. They have not been found yet, because the amplitudes are so small that we have not been able to build instruments sensitive enough to detect them.
It is only now that we are on the threshold of being able to do this, and it is anticipated that
LIGO, or
LISA, or one of the other upcoming experiments will detect gravitational waves.