Cosmological spacetimes not covered by a constant mean curvature slicing

Abstract

We show that there exist maximal globally hyperbolic solutions of the Einstein-dust equations which admit a constant mean curvature Cauchy surface, but are not covered by a constant mean curvature foliation.

11 pages

References in corpus (2)

• Existence of constant mean curvature foliations in spacetimes with two-dimensional local symmetry
• Optical scalars in spherical spacetimes

Cited by in corpus (12)

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• Global Prescribed Mean Curvature foliations in cosmological spacetimes with matter, Part I
• Local and global existence theorems for the Einstein equations
• On the existence of global solutions for $T^3$-Gowdy spacetimes with stringy matter
• Convex Functions and Spacetime Geometry
• Constant mean curvature slicings of Kantowski-Sachs spacetimes
• A globally well-behaved simultaneity connection for stationary frames in the weak field limit