On Integrating the Left-Flat Vacuum Einstein Equations
General Relativity and Quantum Cosmology
2015-06-15 v2
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
Keywords
Cite
@article{arxiv.1303.1807,
title = {On Integrating the Left-Flat Vacuum Einstein Equations},
author = {Ezra T. Newman},
journal= {arXiv preprint arXiv:1303.1807},
year = {2015}
}
Comments
the mislabeling of equations has been fixed