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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.
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Nonuniqueness of capped black holes: large and small bubbles
A four-parameter capped black hole solution in 5D minimal supergravity exhibits two branches with identical conserved charges, demonstrating non-uniqueness for spherical black holes.
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