2006/01/18 by Burkhard Kleihaus, Jutta Kunz, Kari Myklevoll
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Dilaton #Einstein #Geometry #Gravitation #Graviton #Homogeneous space #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Scalar (mathematics) #Scalar field #Symmetry (geometry) #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2006.05.058
published as Phys.Lett.B638:367-373,2006 · 10 pages, 10 figures
arxiv created 2006/01/18 · openalex publication_date 2006/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct globally regular gravitating solutions, which possess only discrete symmetries. These solutions of Yang-Mills-dilaton theory may be viewed as exact (numerical) solutions of scalar gravity, by considering the dilaton as a kind of scalar graviton, or as approximate solutions of Einstein-Yang-Mills theory. We focus on platonic solutions with cubic symmetry, related to a rational map of degree N=4. We present the first two solutions of the cubic N=4 sequence, and expect this sequence to converge to an extremal Reissner-Nordstrom solution with magnetic charge P=4.