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Journal Article

Global Prescribed Mean Curvature foliations in cosmological spacetimes I

MPS-Authors

Henkel,  Oliver
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Henkel, O. (2002). Global Prescribed Mean Curvature foliations in cosmological spacetimes I. Journal of Mathematical Physics, 43, 2439-2465.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5527-0
Abstract
This work investigates some global questions about cosmological space-times with two-dimensional spherical, plane, and hyperbolic symmetry containing "well-behaved" matter. The result is that these space-times admit a global foliation by prescribed mean curvature surfaces, which extends at least toward a crushing singularity. The time function of the foliation is geometrically defined and unique up to the choice of an initial Cauchy surface. This work generalizes a similar analysis on constant mean curvature foliations and avoids the topological obstructions arising from the existence problem. (C) 2002 American Institute of Physics.