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Shear free, twisting Einstein-Maxwell metrics in the Newman-Penrose formalism

机译:在纽曼 - 彭罗斯形式主义中,剪切自由,扭曲爱因斯坦 - 马克斯韦尔指标

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The problem of finding algebraically special solutions to the vacuum Einstein-Maxwell equations was investigated using a spin coefficient formalism. The general case in which the degenerate null vectors are not hypersurface orthogonal is reduced to a problem of solving five coupled differential equations that are no longer dependent on the affine parameter along the degenerate null directions. It is shown that the most general regular, shear-free, nonradiating solution to these equations is the Kerr-Newman metric.

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