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Journal Article

#### Dynamics of solutions of the Einstein equations with twisted Gowdy symmetry

##### Fulltext (public)

1011.2317

(Preprint), 196KB

JGP2011.pdf

(Any fulltext), 243KB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

Rendall, A. D. (2012). Dynamics of solutions of the Einstein equations with twisted
Gowdy symmetry.* Journal of Geometry and Physics,* *62*(3),
569-577. doi:10.1016/j.geomphys.2011.04.016.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-D164-D

##### Abstract

Some of the most interesting results on the global dynamics of solutions of
the vacuum Einstein equations concern the Gowdy spacetimes whose spatial
topology is that of a three-dimensional torus. In this paper certain of these
ideas are extended to a wider class of vacuum spacetimes where the spatial
topology is that of a non-trivial torus bundle over a circle. Compared to the
case of the torus these are topologically twisted. They include inhomogeneous
generalizations of the spatially homogeneous vacuum spacetimes of Bianchi types
II and VI${}_0$. Using similar procedures it is shown that the vacuum solutions
of Bianchi type VII${}_0$ are isometric to a class of Gowdy spacetimes, the
circular loop spacetimes, thus establishing links between results in the
literature which were not previously known to be related to each other.