Smooth static solutions of the Einstein-Yang/Mills equations
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- by J. Smoller, A. Wasserman, S. T. Yau and B. McLeod PDF
- Bull. Amer. Math. Soc. 27 (1992), 239-242 Request permission
Abstract:
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.References
-
R. Alder, M. Bazin and M. Schiffer, Introduction to general relativity, 2nd ed., McGraw-Hill, New York (1975).
- Robert Bartnik and John McKinnon, Particlelike solutions of the Einstein-Yang-Mills equations, Phys. Rev. Lett. 61 (1988), no. 2, 141–144. MR 948143, DOI 10.1103/PhysRevLett.61.141
- A. Zichichi (ed.), Laws of hadronic matter, Subnuclear Series, Vol. 11, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1975. 1973 International School of Subnuclear Physics, held at Erice, Trapani-Sicily, 8–26 July 1973. MR 0436801 S. Deser, Absence of static solutions in source-free Yang-Mills theory, Phys. Lett. B 64 (1976), 463-465.
Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 27 (1992), 239-242
- MSC (2000): Primary 58E15; Secondary 53C80, 58G30, 81T13, 83C15
- DOI: https://doi.org/10.1090/S0273-0979-1992-00301-4
- MathSciNet review: 1145579