Exact Vacuum Solutions to the Einstein Equation
Abstract
Description
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
11 pages, no figures, submitted to Chinese Annals of Mathematics