Asymptotically Flat Self-dual Solutions to Euclidean Gravity

  title={Asymptotically Flat Self-dual Solutions to Euclidean Gravity},
  author={T. Eguchi and Andrew J. Hanson},
The discovery of pseudoparticle solutions to the euclidean SU(2) Yang-Mills theory [1 ] has suggested the possibility that analogous solutions might occur in Einstein's theory of gravitation. The existence of such solutions would have a profound effect on the quantum theory of gravitation [2,3]. Since fire Yang-Mills pseudoparticles possess self-dual field strengths, one likely possibility is that gravitational pseudoparticles are characterized by self-dual curvature. In fact it has been… CONTINUE READING
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Differential geometry and symmetric spaces (Academic

  • S. Helgason
  • J. Math. Phys
  • 1963

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