On Integrating the Left-Flat Vacuum Einstein Equations
arXiv:1303.1807 · doi:10.1088/0264-9381/31/1/015013
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
the mislabeling of equations has been fixed