The geometry of space is nothing but curvature that is constantly being reshaped as massive bodies move in relation to each other. Every kind of curvature (broad arcs, ripples, torus shapes, etc.) should exist somewhere in the universe. Space should be bumpy and lumpy and constantly changing.
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Ricky is correct, but objects that are larger than 500 miles in diameter will generally pull themselves into spheres. Torus-shaped celestial bodies are a physical impossibility as gravitational forces create the geometrical object with the smallest surface area to volume ratio, the least resistance if you will.
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according to what most physicists believe, if something is not forbidden in nature, then it is mandatory to exist (or to be able to be formed); a little known mathematical allowance in relativity is that a rapidly rotating toroidal mass will generate a forceful toroidal space-time curvature so if you had something of sufficient density, say on the order of magnitude as the density of a neutron star or a singularity but in the shape of a torus, then a toroidal curvature would be generated in space; as far as space being bumpy and lumpy and constantly changing, that's basically quantum mechanics in a nut shell and is scientifically accepted to be the case in this little universe of ours on the quantum level
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No. Why should every kind of curvature exist? Sure mass shapes space, but why how does that imply that space will take on a torus?
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