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gr-qcNov 30, 2009
2
citations (OpenAlex)
authors
  • Ryosuke Mizuno
  • Seiju Ohashi
  • Tetsuya Shiromizu
institutions
  • Kyoto University
  • Tokyo Institute of Technology
arXiv abstractPDF
paper

Static black hole uniqueness and Penrose inequality

arXiv:0911.5560 · doi:10.1103/PhysRevD.81.044030

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.

arXiv comment6 pages

References in corpus (8)

  • A generalization of Hawking's black hole topology theorem to higher dimensions
  • Uniqueness and non-uniqueness of static black holes in higher dimensions
  • Uniqueness and non-uniqueness of static vacuum black holes in higher dimensions
  • On the topology and area of higher dimensional black holes
  • Present status of the Penrose inequality
  • Towards the classification of static vacuum spacetimes with negative cosmological constant
  • Some Comments on Gravitational Entropy and the Inverse Mean Curvature Flow
  • 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
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