Regular solutions of the Einstein–Yang–Mills equations

  title={Regular solutions of the Einstein–Yang–Mills equations},
  author={Joel Smoller and Arthur Gabriel Wasserman},
It is shown rigorously that any static symmetric solution of the Einstein-YangMills (YM) equations with W(2) gauge group that is well behaved in the far field is one of three types: black hole, particlelike, or Riessner-Nordstrom-like (RN) solution. (In particular, any solution with finite ADM mass is well behaved in the far field.) Black-hole solutions are proven to be analytic at the event horizon and thus coincides with Bartnik-McKinnon (BM) black holes. Furthermore, the singularity in the… CONTINUE READING

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