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Q: Higher-dimensionality toroidal black holes
Posted:
Jun 24, 1996 7:58 PM
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Hi All!
There's a particular shape that you get when you use two tubes to
cross-connect 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.
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You can't (quite) construct the shape in standard 3-D space.
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The main application seems to be the construction of "wormhole"-type
beasties by cross-linking the inner rims of two separated toroidal
black holes, letting the cross-connections 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 reasonably-stable multiply-connected space without
resorting to the use of exotic matter).
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One of fun things about this configuration is that the two toroidal
black holes share a common event horizon and ring-singularity, and are
effectively the same object. You have something that appears to be a
simple torus, but which requires a 720-degree rotation on its minor
axis in order to return to its starting point.
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So - question.
What is the official mathematical name for this composite torus?
Anyone know?
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=Erk= (Eric Baird)
http://ourworld.compuserve.com/homepages/eric_baird/
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