On Integrating the Left-Flat Vacuum Einstein Equations
classification
🌀 gr-qc
keywords
equationequationssolutionseinsteinleft-flatpotentialsvacuumcases
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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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