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arXiv · 1303.1807

On Integrating the Left-Flat Vacuum Einstein Equations

Ezra T. Newman
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Abstract

Considering the spin-coefficient version of the left-flat vacuum Einstein equations, all but one of the fifty equations can be explicitly integrated via the introduction of five spin-weight s=-2 complex potentials. The final equation is a non-linear wave equation for the last of the potentials. Solutions to this equation determine solutions for the entire system. Solutions for several special cases are obtained

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Ezra T. Newman. 2013-03-07. On Integrating the Left-Flat Vacuum Einstein Equations. https://doi.org/10.1088/0264-9381/31/1/015013

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