If this is not feasible, please explain.

Given the scale we can see over, upto about 15 Billion Light Years, it is reasonable to expect to see one Galaxy or Galactic Cluster undergoing collapse. I am not aware of any such evidence.

One stellar mass Black Hole is still only a stellar mass object. The mass of surrounding stars and Galaxies have a greater gravitational effect. It is thought that all galaxies have several million solar mass black holes in the center of them. The Milky Way almost ceraintly does and is not known to be collapsing. Quasars (early cosmological objects) are also powered by these super-massive Holes. Again, no collapsing Galaxies observed beween our epoch and the Quasar epoch.

No "local oscillation" or mini big bangs are seen so it is an unlikely supposition.

Yelmalio.