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• W2494148385 abstract "Solutions of the Einstein equations evolve from initial data given on a three-dimensional manifold M. The initial position and velocity of the gravitational field are given by a Riemannian metric g and a symmetric (0, 2) tensor K. The metric g will be the metric induced on M as a spacelike hypersurface in the spacetime S which evolves from the data, and the tensor K will be the second fundamental form of M in S. Thus an initial data set is given by a triple (M, g, K). There is currently interest in higher-dimensional gravity in the physics community, so when convenient we will discuss initial data on an n-dimensional manifold Mn which will evolve to an (n + 1)-dimensional spacetime Sn + 1 (n ≥ 3)." @default.
• W2494148385 created "2016-08-23" @default.
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• W2494148385 date "2015-06-01" @default.
• W2494148385 modified "2023-10-18" @default.
• W2494148385 title "Initial Data and the Einstein Constraint Equations" @default.
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• W2494148385 doi "https://doi.org/10.1017/cbo9781139583961.012" @default.
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