Supersymmetric black holes with a single axial symmetry in five dimensions

Abstract

We present a classification of asymptotically flat, supersymmetric black hole and soliton solutions of five-dimensional minimal supergravity that admit a single axial symmetry which `commutes' with the supersymmetry. This includes the first examples of five-dimensional black hole solutions with exactly one axial Killing field that are smooth on and outside the horizon. The solutions have similar properties to the previously studied class with biaxial symmetry, in particular, they have a Gibbons-Hawking base and the harmonic functions must be of multi-centred type with the centres corresponding to the connected components of the horizon or fixed points of the axial symmetry. We find a large moduli space of black hole and soliton spacetimes with non-contractible 2-cycles and the horizon topologies are $S^3$, $S^1\times S^2$ and lens spaces $L(p,1)$.

v2: 53 pages, 1 table; accepted version. Minor clarifications in assumptions, typos corrected, references added, table of numerical results added, results unchanged. v3: Corrected remarks after Corollary 2, minor changes in Theorem 2 and proof of Theorem 3, results unchanged

References in corpus (12)

• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
• An instability of higher-dimensional rotating black holes
• Symmetries of Higher Dimensional Black Holes
• A Uniqueness theorem for 5-dimensional Einstein-Maxwell black holes
• A supersymmetric black lens
• Einstein-Maxwell gravitational instantons and five dimensional solitonic strings
• Bubbles on Manifolds with a U(1) Isometry
• On the `Stationary Implies Axisymmetric' Theorem for Extremal Black Holes in Higher Dimensions
• On the smoothness of static multi-black hole solutions of higher-dimensional Einstein-Maxwell theory
• An infinite class of extremal horizons in higher dimensions
• All higher-dimensional Majumdar-Papapetrou black holes

Cited by in corpus (5)

• Uniqueness of the extremal Schwarzschild de Sitter spacetime
• A classification of supersymmetric Kaluza-Klein black holes with a single axial symmetry
• Black Lenses in Kaluza-Klein Matter
• The geodesic flow of the BGPP metric is Liouville integrable
• Bubbling saddles of the gravitational index