Exact Vacuum Solutions to the Einstein Equation
arXiv:0706.0318 · doi:10.1007/s11404-007-0237-5
Abstract
In this paper, we present a framework for getting a series of exact vacuum solutions to the Einstein equation. This procedure of resolution is based on a canonical form of the metric. According to this procedure, the Einstein equation can be reduced to some 2-dimensional Laplace-like equations or rotation and divergence equations, which are much convenient for the resolution.
11 pages, no figures, submitted to Chinese Annals of Mathematics