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.

arXiv comment10 pages. v2: minor correction, assumption added, references added. v3: main result stated as a theorem, published version

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Cited by in corpus (7)

• On the uniqueness of supersymmetric AdS${}_5$ black holes with toric symmetry
• Uniqueness of the extremal Schwarzschild de Sitter spacetime
• Supersymmetric black holes with a single axial symmetry in five dimensions
• 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