We don't have a good fuel source or reason for expansion. We also don't know where all the theorized white holes could be.

To me it's an interesting coincidence, thought description of these objects baffles me.

Unless the universe is recursively within itself: the black hole stars have black holes within them that also exit at the big bang. But then so do all other smaller big bangs we see: exact same exit point and coincidentally, the same moment in time.

Oh, and there is a beautiful symmetry here: only one white hole exists.

One beginning, many endings. It's armchair philosophy but fun to imagine.