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

Abstract

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.

15 pages

References in corpus (2)

• Mass inflation and chaotic behaviour inside hairy black holes
• Reissner-Nordstrom-like solutions of the SU(2) Einstein-Yang/Mills (EYM) equations

Cited by in corpus (3)

• Loop Quantum Corrected Einstein Yang-Mills Black Holes
• Global behavior of solutions to the static spherically symmetric EYM equations
• Exact solutions of (n + 1)-dimensional Yang-Mills equations in curved space-time