Solutions of the spherically symmetric SU(2) Einstein-Yang-Mills equations defined in the far field

Details Solutions of the spherically symmetric SU(2) Einstein-Yang-Mills equations defined in the far field Solutions of the spherically symmetric SU(2) Einstein-Yang-Mills equations defined in the far field

2000-03-13

arxiv.org/abs/gr-qc/0003046v1

J.Math.Phys.41:6930-6936,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages

Scientific paper

10.1063/1.1288796

It is shown analytically that every static, spherically symmetric solution to the Einstein Yang Mills equations with SU(2) gauge group that is defined in the far field has finite ADM mass. Moreover, there can be at most two horizons for such solutions. The three types of solutions possible, Bartnik-McKinnon particle-like solutions, Reissner-Nordstrom-like solutions, and black hole solutions having only one horizon are distinguished by the behavior of the metric coefficients at the origin.

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