2009/06/30 by Thomas Mohaupt, Kirk Waite
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Partial Differential Equations #Pulsars and Gravitational Waves Research #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/10/058
published as JHEP 0910:058,2009 · 58 pages, minor revision: some references added, discussion of first order flow equations extended, remarks on Hamilton-Jacobi formulation added
arxiv created 2009/08/21 · openalex publication_date 2009/10/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We find a class of five-dimensional Einstein-Maxwell type Lagrangians which contains the bosonic Lagrangians of vector multiplets as a subclass, and preserves some features of supersymmetry, namely the existence of multi-centered black hole solutions and of attractor equations. Solutions can be expressed in terms of harmonic functions through a set of algebraic equations. The geometry underlying these Lagrangians is characterized by the existence of a Hesse potential and generalizes the very special real geometry of vector multiplets. Our construction proceeds by first obtaining instanton solutions for a class of four-dimensional Euclidean sigma models, which includes those occuring for four-dimensional Euclidean N=2 vector multiplets as a subclass.