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arXiv · gr-qc/0612034

Kinematic Self-Similar Plane Symmetric Solutions

M. Sharif·Sehar Aziz
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Abstract

This paper is devoted to classify the most general plane symmetric spacetimes according to kinematic self-similar perfect fluid and dust solutions. We provide a classification of the kinematic self-similarity of the first, second, zeroth and infinite kinds with different equations of state, where the self-similar vector is not only tilted but also orthogonal and parallel to the fluid flow. This scheme of classification yields twenty four plane symmetric kinematic self-similar solutions. Some of these solutions turn out to be vacuum. These solutions can be matched with the already classified plane symmetric solutions under particular coordinate transformations. As a result, these reduce to sixteen independent plane symmetric kinematic self-similar solutions.

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M. Sharif, Sehar Aziz. 2006-12-06. Kinematic Self-Similar Plane Symmetric Solutions. https://doi.org/10.1088/0264-9381%2F24%2F3%2F006

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