Einstein manifolds in Ashtekar variables: explicit examples

Details Einstein manifolds in Ashtekar variables: explicit examples Einstein manifolds in Ashtekar variables: explicit examples

1992-07-16

arxiv.org/abs/hep-th/9207056v2

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, uses harvmac, VPI-IHEP-92-5

Scientific paper

We show that all solutions to the vacuum Einstein field equations may be mapped to instanton configurations of the Ashtekar variables. These solutions are characterized by properties of the moduli space of the instantons. We exhibit explicit forms of these configurations for several well-known solutions, and indicate a systematic way to get new ones. Some interesting examples of these new solutions are described.

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