Exact Vacuum Solutions to the Einstein Equation

Abstract

In this paper, the author presents a framework for getting a series of exactvacuum solutions to the Einstein equation. This procedure of resolution is based on acanonical form of the metric. According to this procedure, the Einstein equation can bereduced to some 2-dimensional Laplace-like equations or rotation and divergence equations,which are much convenient for the resolution.

Keywords

Einstein equation / Exact vacuum solution / Canonical metric / Black hole / 83C05 / 83C15 / 83C57

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