Limiting Behavior of Solutions to the Einstein-Yang/Mills Equations

Abstract

The ADM masses of particle-like solutions to the Einstein-Yang/Mills Equations tend to 2 as the number of nodes of the solutions increases. The same result is true for black hole solutions with event horizon less than 1. For event horizon $\rho >1$ the ADM masses converge to $\rho +{\rho }^{-1}.$ These statements extend and correct ``An Investigation at the Limiting Behavior of Particle-Like Solutions to the Einstein-Yang/Mills Equations and a New black Hole Solutions'', by J. A. Smoller and A. G. Wasserman, in Comm. Math. Phys., 161, 365-389, (1994).

2 pages, um5941

References in corpus (1)

• Smooth static solutions of the Einstein-Yang/Mills equation

Cited by in corpus (6)

• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Internal Structure of Einstein-Yang-Mills Black Holes
• Reissner-Nordstrom-like solutions of the SU(2) Einstein-Yang/Mills (EYM) equations
• Investigation of the Interior of Colored Black Holes and the Extendability of Solutions of the Einstein-Yang/Mills Equations
• Global behavior of solutions to the static spherically symmetric EYM equations
• Dynamical system analysis for the Einstein-Yang-Mills equations