Gravitational Instantons in Ashtekar's Formalism

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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18 pages, no figures, Plain-TeX

Scientific paper

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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