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

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

1995-03-22

arxiv.org/abs/gr-qc/9503036v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages, latex file

Scientific paper

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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