Static black hole uniqueness and Penrose inequality

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.

6 pages

References in corpus (4)

• A generalization of Hawking's black hole topology theorem to higher dimensions
• Uniqueness and non-uniqueness of static black holes in higher dimensions
• Present status of the Penrose inequality
• Collision of high-energy closed strings: Formation of a ring-like apparent horizon

Cited by in corpus (1)

• Divergence equations and uniqueness theorem of static black holes