Einstein manifolds with zero Ricci curvature

Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43618

Surveys in Differential Geometry, 6, (1), 1-14, 2001
The original motivation for solving of the Einstein equation is to understand space-time in the absence of matter; see the essay by Tod in this volume for an overview of the mathematics of general relativity. The equation governs the manner in which space-time is inuenced by the sole force of gravity. As is well known, singularities such as black holes can occur. The study of the vacuum Einstein equations is a difficult problem in nonlinear hyperbolic systems; see the essay by Christodoulou in this volume. Complete space-times with nontrivial gravitational radiation are not well understood.
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  title={Einstein manifolds with zero Ricci curvature},
  author={Shing-Tung Yau},
  booktitle={Surveys in Differential Geometry},
Shing-Tung Yau. Einstein manifolds with zero Ricci curvature. 2001. Vol. 6. In Surveys in Differential Geometry. pp.1-14. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204500540995182.
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