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On long-time evolution in general relativity and geometrization of 3-manifolds

Michael T. Anderson
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Abstract

We describe some relations between the long-time asymptotic behavior of the vacuum Einstein evolution equations and the geometrization of 3-manifolds. These relations are expressed in terms of evolution of CMC hypersurfaces in the vacuum space-time.Some results are also obtained on the singularity avoidance of CMC foliations. In addition, the paper describes a number of open problems relating these two areas.

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Michael T. Anderson. 2000-06-12. On long-time evolution in general relativity and geometrization of 3-manifolds. https://doi.org/10.1007/s002200100527

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