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Reduced holonomy group and Einstein equations with a cosmological constant. (English) Zbl 0773.53051

Summary: We solve the Einstein equations with a cosmological constant for those gravitational fields which have a reduced Ashtekar-spin holonomy group.

MSC:

53Z05 Applications of differential geometry to physics
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
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