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• W2013849672 abstract "We investigate spacelike spherically symmetric hypersurfaces of constant mean curvature K (which we call K-surfaces) in spherically symmetric static spacetimes. We obtain the differential equation satisfied by these surfaces from a variational principle. The spacetime Killing vector leads to a first integral in the form of a conservation of energy for a particle moving in an effective potential. An embedding of the K-surfaces’ intrinsic geometry in flat space likewise follows from an effective potential motion. We apply the formalism to the Schwarzschild solution, and display results of numerical integrations for a variety of K-surfaces and their flat space embeddings. We use these to construct ’’lattice’’ cosmological models, and obtain a foliation of K-surfaces of such models with large scale behavior of both the open and closed Friedmann type." @default.
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• W2013849672 date "1980-12-01" @default.
• W2013849672 modified "2023-09-27" @default.
• W2013849672 title "<i>K</i>‐surfaces in the Schwarzschild space‐time and the construction of lattice cosmologies" @default.
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• W2013849672 doi "https://doi.org/10.1063/1.524400" @default.
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