Static black hole uniqueness and Penrose inequality
Ryosuke Mizuno, Seiju Ohashi, Tetsuya Shiromizu

TL;DR
This paper presents a novel proof of the uniqueness of static black holes in higher-dimensional asymptotically flat spacetimes, emphasizing the role of the Penrose inequality across dimensions.
Contribution
It introduces a new method for proving black hole uniqueness that leverages the Penrose inequality in higher dimensions.
Findings
Proof of static black hole uniqueness in higher dimensions
Extension of Penrose inequality to higher-dimensional spacetimes
New approach applicable to asymptotically flat spacetimes
Abstract
Under certain conditions, we give a new way to prove the uniqueness of static black hole in higher dimensional asymptotically flat spacetimes. In the proof, the Penrose inequality plays a key role in higher dimensions as well as four dimensions.
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