arXiv 0902.47532009-02-27gr-qc

Parallel and Orthogonal Cylindrically Symmetric Self-Similar Solutions

M. Sharif, Javaria Zanub

备注：: 15 pages, accepted for publication in J. Korean Physical Society
发表信息：: J. Korean Physical Society 54(2009)1373-1379
DOI：: 10.3938/jkps.54.1373

英文摘要：

In this paper, we evaluate kinematic self-similar perfect fluid and dust solutions for the most general cylindrically symmetric spacetime. We explore kinematic self-similar solutions of the first, second, zeroth and infinite kinds for parallel and orthogonal cases. It is found that the parallel case gives solutions for both perfect fluid and dust cases in all kinds except the zeroth kind of the dust case where there exists no solution. The orthogonal perfect fluid case gives stiff fluid solution only in the first kind and vacuum solution for the dust case. We obtain a total of thirteen solutions out of which eleven are independent. The correspondence of these solutions with those already available in the literature is also given.

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