Gravitational Instantons in Ashtekar's Formalism
H. Ishihara, H. Kubotani, T. Fukuyama
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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