Abstract
By applying Plebański-Hacyan theorem, the canonical forms of the metric are established for all complex Einstein flat with the minimally (one-sided) algebraically degenerate — conformal curvature. Then Einstein equations are integrated. The solution is expressed in the terms of only one fundamental key function which is determined by a differential equation of the second order and with quadratic non-linearity only, this equation being a generalization of the second heavenly equation.
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© 1977 Plenum Press, New York
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Plebanski, J.F., Robinson, I. (1977). The Complex Vacuum Metric with Minimally Degenerated Conformal Curvature. In: Esposito, F.P., Witten, L. (eds) Asymptotic Structure of Space-Time. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2343-3_5
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DOI: https://doi.org/10.1007/978-1-4684-2343-3_5
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