Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-11-28
Phys.Lett.B657:255-256,2007
Physics
High Energy Physics
High Energy Physics - Theory
6 pages
Scientific paper
10.1016/j.physletb.2007.10.015
The canonical Bartnik-McKinnon solitons are regular solutions of the coupled Einstein-Yang-Mills system in which gravity may balance the repulsive nature of the Yang-Mills field. We examine the role played by gravity in balancing the system and determine its strength. In particular, we obtain an analytic lower bound on the fundamental mass-to-radius ratio, max{2m(r)/r}>2/3, which is a necessary condition for the existence of globally regular Einstein-Yang-Mills solitons. Our analytical results are in accord with numerical calculations.
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