All higher-dimensional Majumdar-Papapetrou black holes

Abstract

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.

10 pages. v2: minor correction, assumption added, references added. v3: main result stated as a theorem, published version

References in corpus (5)

• Classification of Static Charged Black Holes in Higher Dimensions
• On the smoothness of static multi-black hole solutions of higher-dimensional Einstein-Maxwell theory
• On higher dimensional black holes with abelian isometry group
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Cited by in corpus (7)

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• On the geometry of electrovacuum spaces in higher dimensions
• Electrostatic system with divergence-free Bach tensor and non-null cosmological constant
• Black Hole and Equipotential Photon Surface Uniqueness in 4-dimensional Asymptotically Flat Electrostatic Electro-Vacuum Spacetimes
• EFT Corrections to Majumdar-Papapetrou Black Holes