# Classification of Gravitational Instanton symmetries

@article{Gibbons1979ClassificationOG, title={Classification of Gravitational Instanton symmetries}, author={G. W. Gibbons and Stephen William Hawking}, journal={Communications in Mathematical Physics}, year={1979}, volume={66}, pages={291-310} }

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…

## 475 Citations

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