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A note on the hyper-CR equation, and gauged \(N=2\) supergravity. (English) Zbl 1390.83395

Summary: We construct a new class of solutions to the dispersionless hyper-CR equation, and show how any solution to this equation gives rise to a supersymmetric Einstein-Maxwell cosmological space-time in \((3 + 1)\)-dimensions.

MSC:

83E50 Supergravity
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
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