Constant mean curvature slicings of Kantowski-Sachs spacetimes

Details Constant mean curvature slicings of Kantowski-Sachs spacetimes Constant mean curvature slicings of Kantowski-Sachs spacetimes

2011-05-10

arxiv.org/abs/1105.1987v1

Phys. Rev. D 83, 084004 (2011) [15 pages]

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

We investigate existence, uniqueness, and the asymptotic properties of constant mean curvature (CMC) slicings in vacuum Kantowski-Sachs spacetimes with positive cosmological constant. Since these spacetimes violate the strong energy condition, most of the general theorems on CMC slicings do not apply. Although there are in fact Kantowski-Sachs spacetimes with a unique CMC foliation or CMC time function, we prove that there also exist Kantowski-Sachs spacetimes with an arbitrary number of (families of) CMC slicings. The properties of these slicings are analyzed in some detail.

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