2004/05/22 by Reinoud Jan Slagter, Reinoud J. Slagter, Slagter, Reinoud J.
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Solar and Space Plasma Dynamics #gr-qc #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0405057
7 pages, 27 eps-figures
arxiv created 2004/06/19 · arxiv updated 2009/12/01
We investigated numerically dyon-like solutions of the SU(2) Einstein-Yang-Mills system on a cylindrically symmetric space time with a cosmological constant. We find a new kind of behaviour not found in the spherically symmetric models. For positive values of Λ we have an oscillatory behaviour of the magnetic component of the YM field around the r-axis, so there is an arbitrary number of nodes. For increasing positive Λ, the frequency increases also and the solution breaks down at finite radius, indicating a singularity. The electric component, however, approaches a constant value. After further increasing Λ, this global behaviour repeats itself at a larger r while the former singular behaviour disappears. For increasing negative Λ, the oscillatory behaviour disappears and the magnetic and electric components behave like the scalar and gauge field in the Abelian cosmic string model.