Constant mean curvature slicings of Kantowski-Sachs spacetimes

Autor(en)

Johannes Markus Heinzle

Abstrakt

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(en)

Gravitationsphysik

Journal

Physical Review D

Band

83

Anzahl der Seiten

15

ISSN

1550-7998

DOI

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

Publikationsdatum

2011

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103028 Relativitätstheorie, 103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/17d598cc-396f-44d8-8c17-c936a3edb330