Einstein manifolds in Ashtekar variables: explicit examples

Lay Nam Chang; Chopin Soo

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arXiv · hep-th/9207056

Einstein manifolds in Ashtekar variables: explicit examples

Lay Nam Chang·Chopin Soo

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Abstract

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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Lay Nam Chang, Chopin Soo. 1992-07-30. Einstein manifolds in Ashtekar variables: explicit examples. https://arxiv.org/abs/hep-th/9207056

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