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

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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.

fields

gr-qc 1

years

2019 1

verdicts

UNVERDICTED 1

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