I suppose that point mass has its own gravitational well. Why this point mass is still attracted by other gravitational waves. I expect that this point mass is surrounded by "gravitational hills". Why it is not blind to other weaker gravitational waves?
If we think about gravity in terms of shape of spacetime.
I mean that point mass (left chart) creates "sharp" gravity potential. Lowest gravity potential is exactly where point mass is located. Point stays in place (?).
When mass is spread across spacetime (right chart) this is different. Lowest gravity potential is moved from the centre of the object. Object accelerates.
Does point mass exist in real world?