Exact Vacuum Solutions to the Einstein Equation

Details Exact Vacuum Solutions to the Einstein Equation Exact Vacuum Solutions to the Einstein Equation

2007-06-03

arxiv.org/abs/0706.0318v2

Chin. Ann. Math. 28B(5), 2007, 499-506

Physics

General Physics

11 pages, no figures, submitted to Chinese Annals of Mathematics

Scientific paper

10.1007/s11404-007-0237-5

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.

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