On Physical Properties of Cylindrically Symmetric Self-Similar Solutions

Details On Physical Properties of Cylindrically Symmetric Self-Similar Solutions On Physical Properties of Cylindrically Symmetric Self-Similar Solutions

2005-04-21

arxiv.org/abs/gr-qc/0504102v1

Int.J.Mod.Phys. A20 (2005) 7579-7591

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, accepted for publication in Int. J. of Mod. Phys. A

Scientific paper

10.1142/S0217751X05023906

This paper is devoted to discuss some of the features of self-similar solutions of the first kind. We consider the cylindrically symmetric solutions with different homotheties. We are interested in evaluating the quantities acceleration, rotation, expansion, shear, shear invariant and expansion rate. These kinematical quantities are discussed both in co-moving as well as in non-co-moving coordinates (only in radial direction). Finally, we would discuss the singularity feature of these solutions. It is expected that these properties would help in exploring some interesting features of the self-similar solutions.

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