Global Prescribed Mean Curvature foliations in cosmological spacetimes II

Henkel, Oliver

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Global Prescribed Mean Curvature foliations in cosmological spacetimes II

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

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Henkel, O. (2002). Global Prescribed Mean Curvature foliations in cosmological spacetimes II. Journal of Mathematical Physics, 43, 2466-2485.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-552A-A

Abstract

This paper is devoted to the investigation of global properties of prescribed mean curvature (PMC) foliations in cosmological space-times with local U(1)xU(1) symmetry and matter described by the Vlasov equation. It turns out that these space-times admit a global foliation by PMC surfaces as well, but the techniques to achieve this goal are more complex than in the cases considered in Paper I [Henkel (2002)]