Uniqueness and non-uniqueness of static vacuum black holes in higher dimensions
Gary W. Gibbons, Daisuke Ida, Tetsuya Shiromizu
Abstract
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.
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