Constant mean curvature slicings of Kantowski-Sachs spacetimes

J. Mark Heinzle
Phys. Rev. D 83, 084004 – Published 4 April 2011

Abstract

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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  • Received 31 October 2010

DOI:https://doi.org/10.1103/PhysRevD.83.084004

© 2011 American Physical Society

Authors & Affiliations

J. Mark Heinzle*

  • University of Vienna, Faculty of Physics, Gravitational Physics, Boltzmanngasse 5, 1090 Vienna, Austria

  • *Mark.Heinzle@univie.ac.at

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Issue

Vol. 83, Iss. 8 — 15 April 2011

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