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

Gary W. Gibbons·Daisuke Ida·Tetsuya Shiromizu
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Abstract

We prove a uniqueness theorem for asymptotically flat static charged dilaton black hole solutions in higher dimensional space-times. We also construct infinitely many non-asymptotically flat regular static black holes on the same space-time manifold with the same spherical topology. An application to the uniqueness of a certain class of flat $p$-branes is also given.

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Gary W. Gibbons, Daisuke Ida, Tetsuya Shiromizu. 2002-06-14. Uniqueness and non-uniqueness of static black holes in higher dimensions. https://doi.org/10.1103/physrevlett.89.041101

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