Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-05-10
J.Korean Phys.Soc. 49 (2006) 21-30
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
25 pages, accepted for publication in J. Korean Physical Society
Scientific paper
In this paper we provide a classification of plane symmetric kinematic self-similar perfect fluid and dust solutions. In the perfect fluid and dust cases, kinematic self-similar vectors for the tilted, orthogonal and parallel cases have been explored in the first, second, zeroth and infinite kinds with different equations of state. We obtain total of eleven plane symmetric kinematic self-similar solutions out of which six are independent. The perfect fluid case gives two solutions for infinite tilted and infinite orthogonal kinds. In the dust case, we have four independent solutions in the first orthogonal, infinite tilted, infinite orthogonal and infinite parallel kinds. The remaining cases provide contradiction. It is interesting to mention that some of these solutions turn out to be vacuum.
Aziz Sehar
Sharif Mai
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