Matter collineations of Spacetime Homogeneous Gödel-type Metrics

Details Matter collineations of Spacetime Homogeneous Gödel-type Metrics Matter collineations of Spacetime Homogeneous Gödel-type Metrics

2003-06-30

arxiv.org/abs/gr-qc/0306129v1

Class.Quant.Grav. 20 (2003) 2169

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, LaTex, no figures, Class. Quantum.Grav.20 (2003) 2169

Scientific paper

10.1088/0264-9381/20/11/316

The spacetime homogeneous G\"odel-type spacetimes which have four classes of metrics are studied according to their matter collineations. The obtained results are compared with Killing vectors and Ricci collineations. It is found that these spacetimes have infinite number of matter collineations in degenerate case, i.e. det$(T_{ab}) = 0$, and do not admit proper matter collineations in non-degenerate case, i.e. det$(T_{ab}) \ne 0$. The degenerate case has the new constraints on the parameters $m$ and $w$ which characterize the causality features of the G\"odel-type spacetimes.

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