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Q: Higherdimensionality toroidal black holes
Posted:
Jun 24, 1996 7:58 PM


Hi All! There's a particular shape that you get when you use two tubes to crossconnect the inner rims or two tori. The two connecting tubes form a third torus, which "loops the loop" around the surfaces of the two smaller tori, so you have a single continuous toroidal surface.  You can't (quite) construct the shape in standard 3D space.  The main application seems to be the construction of "wormhole"type beasties by crosslinking the inner rims of two separated toroidal black holes, letting the crossconnections contract to zero length, and using the outward gravitational attraction toward the inner rims of the two (spinning) toroidal black holes to keep the passage open (that way you get reasonablystable multiplyconnected space without resorting to the use of exotic matter).  One of fun things about this configuration is that the two toroidal black holes share a common event horizon and ringsingularity, and are effectively the same object. You have something that appears to be a simple torus, but which requires a 720degree rotation on its minor axis in order to return to its starting point.  So  question. What is the official mathematical name for this composite torus? Anyone know?  =Erk= (Eric Baird) http://ourworld.compuserve.com/homepages/eric_baird/



