2006/08/31 by Pau Figueras, Carlos A. R. Herdeiro, Carlos A.R Herdeiro +1 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #gr-qc #hep-th
paper · pdf · doi:10.1088/1126-6708/2006/11/036
published as JHEP0611:036,2006 · 34 pages, 3 figures. v2: formula (8.35) and other minor typos corrected; references added; accepted for publication in JHEP
arxiv created 2006/10/17 · openalex publication_date 2006/11/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We construct a class of toric Kahler manifolds, M4, of real dimension four, a subset of which corresponds to the Kahler bases of all known 5D asymptotically AdS5 supersymmetric black-holes. In a certain limit, these Kahler spaces take the form of cones over Sasaki spaces, which, in turn, are fibrations over toric manifolds of real dimension two. The metric on M4 is completely determined by a single function H(x), which is the conformal factor of the two dimensional space. We study the solutions of minimal five dimensional gauged supergravity having this class of Kahler spaces as base and show that in order to generate a five dimensional solution H(x) must obey a simple sixth order differential equation. We discuss the solutions in detail, which include all known asymptotically AdS5 black holes as well as other spacetimes with non-compact horizons. Moreover we find an infinite number of supersymmetric deformations of these spacetimes with less spatial isometries than the base space. These deformations vanish at the horizon, but become relevant asymptotically.