Smooth static solutions of the Einstein/Yang-Mills equations

Details Smooth static solutions of the Einstein/Yang-Mills equations Smooth static solutions of the Einstein/Yang-Mills equations

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cmaph.143..115s&link_type=abstract

Communications in Mathematical Physics, Volume 143, Issue 1, pp.115-147

Mathematics

Mathematical Physics

64

Scientific paper

We consider the Einstein/Yang-Mills equations in 3+1 space time dimensions with SU(2) gauge group and prove rigorously the existence of a globally defined smooth static solution. We show that the associated Einstein metric is asymptotically flat and the total mass is finite. Thus, for non-abelian gauge fields the Yang-Mills repulsive force can balance the gravitational attractive force and prevent the formation of singularities in spacetime.

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