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Exact Vacuum Solutions to the Einstein Equation

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Abstract

In this paper, the author presents 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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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Yingqiu Gu

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  1. Yingqiu Gu
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Correspondence to Yingqiu Gu.

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Gu, Y. Exact Vacuum Solutions to the Einstein Equation. Chin. Ann. Math. Ser. B 28, 499–506 (2007). https://doi.org/10.1007/s11401-007-0237-5

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  • DOI: https://doi.org/10.1007/s11401-007-0237-5

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