Existence of infinitely many smooth, static, global solutions of the Einstein / Yang-Mills equations

Smoller, J.A.; Wasserman, A.G.

doi:10.1007/BF02096771

Existence of infinitely many smooth, static, global solutions of the Einstein / Yang-Mills equations

J.A. Smoller
(
- Michigan U.
)
,
A.G. Wasserman
(
- Michigan U.
)

1993

23 pages

Published in:

Commun.Math.Phys. 151 (1993) 303-325

DOI:

10.1007/BF02096771

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Abstract: (Springer)

We prove the existence of infinitely-many globally defined singularity-free solutions, to the EYM equations withSU(2) gauge group. The solutions are indexed by a coupling constant, have distinct winding numbers, and their corresponding Einstein metrics decay at infinity to the flat Minkowski metric. Each solution has a finite (ADM) mass; these masses are derived from the solutions, and arenot arbitrary constants.

gauge field theory: SU(2)
Einstein equation
field equations: solution
mass
mathematical methods

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