Moduli space of supersymmetric solitons and black holes in five dimensions

Abstract

We determine all asymptotically flat, supersymmetric and biaxisymmetric soliton and black hole solutions to five dimensional minimal supergravity. In particular, we show that the solution must be a multi-centred solution with a Gibbons-Hawking base. The proof involves combining local constraints from supersymmetry with global constraints for stationary and biaxisymmetric spacetimes. This reveals that the horizon topology must be one of S^3, S^1 x S^2 or a lens space L(p,1), thereby providing a refinement of the allowed horizon topologies. We construct the general smooth solution for each possible rod structure. We find a large moduli space of black hole spacetimes with noncontractible 2-cycles for each of the allowed horizon topologies. In the absence of a black hole we obtain a classification of the known `bubbling' soliton spacetimes.

v2: 43 pages, 5 figures, references added, typos fixed, minor clarifications, expanded discussion of physical parameters. v3: clarified statement of theorem 4 (results unchanged, update made after publication)

References in corpus (11)

• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
• A Uniqueness theorem for 5-dimensional Einstein-Maxwell black holes
• A supersymmetric black lens
• Einstein-Maxwell gravitational instantons and five dimensional solitonic strings
• One Thousand and One Bubbles
• On higher dimensional black holes with abelian isometry group
• No static bubbling spacetimes in higher dimensional Einstein-Maxwell theory
• Magnetized configurations with black holes and Kaluza-Klein bubbles: Smarr-like relations and first law
• Asymptotically flat multi-black lenses
• Uniqueness of Black Holes with Bubbles in Minimal Supergravity

Cited by in corpus (14)

• A stationary and biaxisymmetric four-soliton solution in five dimensions
• All higher-dimensional Majumdar-Papapetrou black holes
• Uniqueness of supersymmetric AdS${}_5$ black holes with $SU(2)$ symmetry
• Supersymmetric black hole non-uniqueness in five dimensions
• 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 nonexistence of a vacuum black lens
• New thermodynamic identities for five-dimensional black holes
• A classification of supersymmetric Kaluza-Klein black holes with a single axial symmetry
• Five-dimensional electrostatic black holes in a background field
• Lower bound for angular momenta of microstate geometries in five dimensions
• N=4 Near-Horizon Geometries in D=11 Supergravity
• Bubbling saddles of the gravitational index