An exact smooth Gowdy-symmetric generalized Taub-NUT solution
Abstract
In a recent paper (Beyer and Hennig 2012 Class. Quantum Grav. 29 245017), we have introduced a class of inhomogeneous cosmological models: the smooth Gowdy-symmetric generalized Taub-NUT solutions. Here we derive a three-parametric family of exact solutions within this class, which contains the two-parametric Taub solution as a special case. We also study properties of this solution. In particular, we show that for a special choice of the parameters, the spacetime contains a curvature singularity with directional behaviour that can be interpreted as a 'true spike' in analogy to previously known Gowdy-symmetric solutions with spatial $\mathbb {T}^3$ T3-topology. For other parameter choices, the maximal globally hyperbolic region is singularity-free, but may contain 'false spikes'.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- May 2014
- DOI:
- 10.1088/0264-9381/31/9/095010
- arXiv:
- arXiv:1401.0954
- Bibcode:
- 2014CQGra..31i5010B
- Keywords:
-
- 98.80.Jk;
- 04.20.Jb;
- 04.20.Dw;
- Gowdy spacetimes;
- exact solutions;
- spikes;
- General Relativity and Quantum Cosmology;
- Mathematical Physics
- E-Print:
- 39 pages, 3 figures