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Smooth static solutions of the Einstein-Yang/Mills equations
Authors:
J. Smoller, A. Wasserman, S. T. Yau and B. McLeod
Journal:
Bull. Amer. Math. Soc. 27 (1992), 239-242
MSC (2000):
Primary 58E15; Secondary 53C80, 58G30, 81T13, 83C15
MathSciNet review:
1145579
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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.
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S. Deser, Absence of static solutions in source-free Yang-Mills theory, Phys. Lett. B 64 (1976), 463-465.
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- R. Alder, M. Bazin and M. Schiffer, Introduction to general relativity, 2nd ed., McGraw-Hill, New York (1975).
- [2]
- R. Bartnik and J. McKinnon, Particlelike solutions of the Einstein-Yang Mills equations, Phys. Rev. Lett. 61 (1988), 141-144. MR 948143 (89e:83015)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1992-00301-4
PII:
S 0273-0979(1992)00301-4
Article copyright:
© Copyright 1992 American Mathematical Society
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