Numerical Solutions of the Einstein-Yang-Mills System with Cosmological Constant

1995/03/22 by P. Molnár, P. Molnar, Molnar, P.
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #Geophysics and Gravity Measurements #Solar and Space Plasma Dynamics #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9503036

35 pages, latex file

arxiv created 1995/05/04 · arxiv updated 2009/11/30

Abstract

Numerical evidence for a cosmological version of the Bartnik-McKinnon family of particle-like solutions of the Einstein-Yang-Mills system is presented. Our solutions are also static, but space has the topology of a three-sphere. By adjusting the cosmological constant we found numerically a spherically symmetric solution which can be regarded as an excitation of the unique SO(4)-invariant solution. We expect that for each node number there exists such a solution without a cosmological horizon.

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