Re: space-time field

James,

Thanks for the question.  General relativity is not a specialty of mine, 
but here are some thoughts on the rotating toroid.

My first thought is that in one sense we already have this sort of thing 
going on in particle accelerators.  Granted, the total mass contained in 
the toroidal volume of an accelerator is only  about 10^-12 grams, but the 
velocity can be 99.9...% of light speed for these particles.  There don't 
seem to be any noticeable space-time effects for this situation.

For any noticeable GR type effects it seems a stellar amount of mass is 
necessary.   The rotation of such a mass results in "frame dragging" or the 
Lense-Thirring effect.  Space time is slightly twisted around massive 
spinning bodies.  For the Earth, the effect is in the parts per trillion 
range.  For the Sun, the effect may reach the parts per billion level.  A 
very massive and dense body rotating a high frequency such as a black hole 
can create significant frame dragging.  The accretion disk around a 
blackhole has been observed to wobble many times a second because of frame 
dragging. The general effect of frame dragging seems to be that energy is 
robbed from objects orbiting around the frame dragger, so that the orbits 
slowly decay.  See: http://www.black-holes.com/ .

There should not be a limit as to how much angular momentum, that is spin, 
can be given a blackhole.  A spinning blackhole ( a Kerr type blackhole ) 
should have a toroidal singularity inside it.  For such a blackhole, a 
particle inside the event horizon cannot escape, but it does not have to 
hit the singularity.  If a blackhole spins fast enough, some think that the 
event horizon itself might become toroidal.  IF this is possible, then a 
particle could fall through the center of the toroidal singularity without 
crossing the event horizon.  What this might accomplish is debatable.  
Speculating, it seems like frame dragging effects should be  noticeable in 
the center of a rotating object.  This might then contribute to 
gravitational stresses at the center of a rotating object that would not be 
there if it was not rotating.

Sorry that I cannot give you anything more specific.  Toroidal blackholes 
have not been investigated much, at least on the Web, so far.  I got most 
of my information from 
http://ourworld.compuserve.com/homepages/eric_baird/wh_home.htm.

Best Regards,

Everett