Uniqueness and non-uniqueness of static vacuum black holes in higher dimensions
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We prove the uniqueness theorem for asymptotically flat static vacuum black hole solutions in higher dimensional space-times. We also construct infinitely many non-asymptotically flat regular static black holes on the same spacetime manifold with the same spherical topology.
to appear in Progress of Theoretical Physics Supplement No. 148
to appear in Progress of Theoretical Physics Supplement No. 148