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I say that gravitational waves are longitudinal.
Suppose the spheres are treated as point particles, and that the line
between them (the direction of wave propagation) is our x axis.
Then we can say that directions of gravitational force field vectors
F coincide with the direction of propagation.
4) If the M (the source of the field) is forced to oscillate along
the x axis then the m (the detector) will also be oscillating along
this axis.