Singularity

In current understanding (relativity/quantum mechanics) there are two types of singularities (black holes). non-rotating and rotating. In a non-rotating singularity space time curvature becomes infinite allowing theorettically infinite space and infinite mass to ultimately be contained within a single point at the center, that is the singularity. In a rotating singularity mass is not contained within a point but within a ring, leading to the theoretical possibility of a center point at which one could survive and observe the ring.

First my own logic leads me to believe (unsupported mind you) a toroidal singularity would have to collapse as the ring attracted itself. becoming a point or small sphere. To me this all implies a complete lack of true singularity. The mass would form a very small, but not singular, sphere.

Even if the shape is possible (the mathematics suggest this, but do not prove it) it is safe to assume that a significant amount of matter would over time cross the event horizon at exactly the place and velocity necassary to enter the "null space" at the center of the ring. This being the case, the mass within the ring would increase over time. Since the gravity of the ring singularity would not take effect at its center, the mass would build up normally, as it would if it were trapped anywhere outside of a singularity. This means it would GROW. As it gets larger there are two possibilities depending on the so far unverifiable size of a ring singularity. If the ring has a small enough radius, the mass would eventually "spill over" into the singularity essentially leaving an ultradense singularity ring encircleling a sphere of normal matter.

The other possibility is if the ring is larger then several solar masses. In this case mass could theoretically build up to the point where a second black hole forms in the center of the ring singularity, likely drawing the ring singularity in and creating a single black hole as they collide. The real singularity would gain the angular momentum of the ring singularity and either this energy would somehow have to be absorbed or a new ring singularity would be generated.

To me all this is less then satisfying. It leaves open too many possibilities and holes. My own preferences is that no singularity ever forms, but rather quantum effects prevent the relativistic singularity from forming, maintaining a sphere of theoretically measurable size (if you could overcome the gravity to see your results) thus allowing for one type of black hole which may or may not rotate.

The other possibility is that a ring singularity never exists, but only appears to due to the effects of relativistic dilation. Essentially a gravitational singularity forms but is moving in a very small orbit at very high speeds. Normally you'd need a rediculously high gravitational force to maintain such motion (at such high velocity that it appears and acts like a ring) however it is possible that at this size other forces take effect (nuclear weak/strong forces and electromagnetic) which could provide the necassary force. Similar to an electron "orbiting" an atomic nucleus.

Alternatively effects of time dilation could be so extreme that the singularity is actually acting on itself. Creating gravitational distortions in space that linger (due to time dilation) long enough to effect the singularity even after its moved to the opposite side of its orbit. Therefore the singularity is in a manner of speaking orbiting itself.