Is the expanding of the universe also a cause which can induce gravitational waves from mass?

Question

Gravitational waves arises when mass is rotating in another mass'orbital, in explosions and of course in case of colliding black holes. But are they also created when mass is moving and speeding because the space itself is expanding? And is there also a kind of 'red-shifting' of the waves because they are moving away?

Answer 1

Movement of mass doesn't create gravitational waves, neither does the homogeneous expansion of space. – CuriousOne, in a comment.

Answer 2

The expanding universe is characterized by the Robertson-Walker metric. There is no radiation in that metric, it only has one time dependent factor and it is the radius of the universe. Because it is spherically symmetric it cannot radiate. In General Relativity, even a dipole moment won't radiate, it has to have at minimum enough asymmetry to have a quadruple moment.