Expert: Jayendra Upadhye - 4/19/2009

Question
would an area of space subject to maximum gravitational curvature such as singularities and super massive black holes be more conducive to supporting an overall spherical or toroidal geometry?

Answer
Hi.
No, one cannot say such a thing.
That would be like saying that a very small ball on the tip of a ball point pen is "more spherical" than a large sphere 1 met in diameter.
It is only a question of degree.
Near singularitird, space is more curved than around the sun say.
It is only a question of degree.
Again the curvature of space around a gravitational well is different from the curvature of space as part of the universe itself, which is proved by Hubble's law.
(the further you are, the faster you recede).
The general curvature of space that makes up the universe is a function of many things..such as whether the universe is open or closed.

regards
Jayen