Non-spinning and non-charged blackholes are called Schwarzschild or static black hole is a simple beast. You have a event horizon, a mass, and a slightly strange area near the event horizon where orbits are unstable, I believe within 1.5 times the event horizon distance.
Spinning blackholes (Kerr) of are quite complicated in comparison. They have an outer ergosphere, inner ergosphere, outer event horizon, and an inner event horizon. Also the singularity is no longer a point, but a ring.
A quote from the Ring_singularity link below:
An observer crossing the event horizon of a non-rotating and uncharged black hole (a Schwarzschild black hole) cannot avoid the central singularity
This is not necessarily true with a Kerr black hole. An observer falling into a Kerr black hole may be able to avoid the central singularity by making clever use of the inner event horizon associated with this class of black hole.
Spinning blackholes (Kerr) of are quite complicated in comparison. They have an outer ergosphere, inner ergosphere, outer event horizon, and an inner event horizon. Also the singularity is no longer a point, but a ring.
A quote from the Ring_singularity link below:
This is also explained in the Veritasium video at 1610 seconds: https://www.youtube.com/watch?v=6akmv1bsz1M&t=1610sMore info at: