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Gravitational Instantons in Ashtekar's Formalism

H. Ishihara·H. Kubotani·T. Fukuyama
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Abstract

Gravitational instantons of Bianchi type IX space are constructed in Ashtekar's canonical formalism. Instead of solving the self-duality condition, we fully solve the constraint on the ``initial surface'' and ``Hamiltonian equations''. This formalism is applicable to the matter coupled system with cosmological constant.

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H. Ishihara, H. Kubotani, T. Fukuyama. 1995-09-06. Gravitational Instantons in Ashtekar's Formalism. https://doi.org/10.1142/s0217751x96001310

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