Constant mean curvature slicings of Kantowski-Sachs spacetimes
- Author(s)
- Johannes Markus Heinzle
- 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.
- Organisation(s)
- Gravitational Physics
- Journal
- Physical Review D
- Volume
- 83
- No. of pages
- 15
- ISSN
- 1550-7998
- DOI
- https://doi.org/10.1103/PhysRevD.83.084004
- Publication date
- 2011
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103036 Theoretical physics, 103028 Theory of relativity, 103019 Mathematical physics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/constant-mean-curvature-slicings-of-kantowskisachs-spacetimes(17d598cc-396f-44d8-8c17-c936a3edb330).html