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Uniqueness and non-uniqueness of static vacuum black holes in higher dimensions

Gary W. Gibbons·Daisuke Ida·Tetsuya Shiromizu
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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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Gary W. Gibbons, Daisuke Ida, Tetsuya Shiromizu. 2003-02-28. Uniqueness and non-uniqueness of static vacuum black holes in higher dimensions. https://doi.org/10.1143/ptps.148.284

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