Classification of Gravitational Instanton symmetries

  title={Classification of Gravitational Instanton symmetries},
  author={G. W. Gibbons and Stephen William Hawking},
  journal={Communications in Mathematical Physics},
  • G. GibbonsS. Hawking
  • Published 1 October 1979
  • Mathematics, Physics
  • Communications in Mathematical Physics
We classify the action of one parameter isometry groups of Gravitational Instantons, complete non singular positive definite solutions of the Einstein equations with or without Λ term. The fixed points of the action are of 2-types, isolated points which we call “nuts” and 2-surfaces which we call “bolts”. We describe all known gravitational instantons and relate the numbers and types of the nuts and bolts occurring in them to their topological invariants. We perform a 3+1 decomposition of the… 

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