I read something a while ago speculating that black holes, and thus the singularity and infinity problems inherent with their existence, may not actually exist.

Rather, they were proposed to be basically this, stars which are super dense, and do cause light to fall back into them, but rather than reaching a point of infinite density, the stars themselves lie just beyond the event horizon, so we can’t see them. Totally normal physics, just super hugely massive objects.

They called them gravetars, I believe.

Edit: gravastar, it turns out. The paper I read was something more recent than 25 years ago, however..