Kinematic Self-Similar Cylindrically Symmetric Solutions

Details Kinematic Self-Similar Cylindrically Symmetric Solutions Kinematic Self-Similar Cylindrically Symmetric Solutions

2005-04-21

arxiv.org/abs/gr-qc/0504103v1

Int.J.Mod.Phys. D14 (2005) 1527-1544

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, accepted for publication in Int. J. of Mod. Phys. D

Scientific paper

10.1142/S0218271805007115

This paper is devoted to find out cylindrically symmetric kinematic self-similar perfect fluid and dust solutions. We study the cylindrically symmetric solutions which admit kinematic self-similar vectors of second, zeroth and infinite kinds, not only for the tilted fluid case but also for the parallel and orthogonal cases. It is found that the parallel case gives contradiction both in perfect fluid and dust cases. The orthogonal perfect fluid case yields a vacuum solution while the orthogonal dust case gives contradiction. It is worth mentioning that the tilted case provides solution both for the perfect as well as dust cases.

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