2021/05/31 by James Lucietti, Sergei G. Ovchinnikov, Sergei G Ovchinnikov
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Gauged supergravity #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Metric (unit) #Soliton #Supergravity #Symmetry (geometry) #Uniqueness #gr-qc #hep-th
paper · pdf · doi:10.1088/1361-6382/ac13b7
published as Class. Quantum Grav. 38 (2021) 195019 · 33 pages. v2: minor edits, published version
openalex created_date 2021/05/24 · openalex publication_date 2021/07/13 · arxiv created 2021/08/04 · arxiv updated 2021/09/10 · openalex updated_date 2026/08/06
Abstract We prove that any supersymmetric solution to five-dimensional minimal gauged supergravity with SU (2) symmetry, that is timelike outside an analytic horizon, is a Gutowski–Reall black hole or its near-horizon geometry. The proof combines a delicate near-horizon analysis with the general form for a Kähler metric with cohomogeneity-1 SU (2) symmetry. We also prove that any timelike supersymmetric soliton solution to this theory, with SU (2) symmetry and a nut or a complex bolt, has a Kähler base with enhanced U (1) × SU (2) symmetry, and we exhibit a family of asymptotically Ad <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:msub> <mml:mrow> <mml:mi mathvariant="normal">S</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>5</mml:mn> </mml:mrow> </mml:msub> <mml:mo>/</mml:mo> <mml:msub> <mml:mrow> <mml:mi mathvariant="double-struck">Z</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>p</mml:mi> </mml:mrow> </mml:msub> </mml:math> solitons for p ⩾ 3 with a bolt in this class.