Journal
ANNALES HENRI POINCARE
Volume 22, Issue 7, Pages 2437-2450Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00023-021-01037-0
Keywords
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Funding
- Leverhulme Trust Research Project Grant
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The study shows that in a generalized Majumdar-Papapetrou class of solutions to higher-dimensional Einstein-Maxwell theory, the only asymptotically flat spacetimes with a suitably regular event horizon are the standard multi-black holes. The proof involves a careful analysis of near-horizon geometry and an extension of the positive mass theorem to Riemannian manifolds with conical singularities, completing the classification of asymptotically flat, static, extreme black hole solutions in this theory.
We prove that the only asymptotically flat spacetimes with a suitably regular event horizon, in a generalised Majumdar-Papapetrou class of solutions to higher-dimensional Einstein-Maxwell theory, are the standard multi-black holes. The proof involves a careful analysis of the near-horizon geometry and an extension of the positive mass theorem to Riemannian manifolds with conical singularities. This completes the classification of asymptotically flat, static, extreme black hole solutions in this theory.
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