Rubber Sheet

In a “rubber sheet” example of spacetime, what happens when you place 2 bodies of the same mass?

In the spacetime analogies like rubber sheet or trampoline, there’s always a big object in the centre, with a smaller one orbiting it around the dip. How would two objects of the same mass behave?
Just to clarify, I know how they interact in real world. Just being curious whether the rubber sheet analogy is usable for those. Can they orbit each other? Or do they create individual dimples and don’t even want to know about the presence of the other?

Just like planets or stars of equal mass.

Depending on the distance between them and the amount of relative speed, they would either collide, orbit around their common barycenter or simply pass once on hyperbolic paths. Due to the presence of friction, the rubber sheet analogy doesn’t work perfectly. Orbits tend to collapse quickly until the two bodies stop in contact with one another.

Rubber Sheet Preformer