Symmetries of the Energy-Momentum Tensor of Cylindrically Symmetric Static Spacetimes

Details Symmetries of the Energy-Momentum Tensor of Cylindrically Symmetric Static Spacetimes Symmetries of the Energy-Momentum Tensor of Cylindrically Symmetric Static Spacetimes

2004-01-14

arxiv.org/abs/gr-qc/0401061v1

J.Math.Phys. 45 (2004) 1532-1560

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

42 pages, no figure, LaTeX, Accepted for publication in J. Math. Phys

Scientific paper

We investigate matter symmetries of cylindrically symmetric static spacetimes. These are classified for both cases when the energy-momentum tensor is non-degenerate and also when it is degenerate. It is found that the non-degenerate energy-momentum tensor gives either three, four, five, six, seven or ten independent matter collineations in which three are isometries and the rest are proper. The worth mentioning cases are those where we obtain the group of matter collineations finite-dimensional even the energy-momentum tensor is degenerate. These are either three, four, five or ten. Some examples are constructed satisfying the constraints on the energy-momentum tensor.

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