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Moduli space of supersymmetric solitons and black holes in five dimensions
- Source :
- Commun. Math. Phys. (2019) 365: 471
- Publication Year :
- 2017
-
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.<br />Comment: 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)
- Subjects :
- High Energy Physics - Theory
General Relativity and Quantum Cosmology
Subjects
Details
- Database :
- arXiv
- Journal :
- Commun. Math. Phys. (2019) 365: 471
- Publication Type :
- Report
- Accession number :
- edsarx.1712.07092
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s00220-018-3215-8