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Self-dual space-times with cosmological constant

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It is shown that self-dual solutions of Einstein's equations, with cosmological constant λ, correspond to certain complex manifolds. This result generalizes the work of Penrose [1], who dealt with the case λ=0.

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  1. School of Mathematics, Trinity College, Dublin, Ireland

    R. S. Ward

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  1. R. S. Ward
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Communicated by R. Geroch

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Ward, R.S. Self-dual space-times with cosmological constant. Commun.Math. Phys. 78, 1–17 (1980). https://doi.org/10.1007/BF01941967

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  • DOI: https://doi.org/10.1007/BF01941967

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