Kinematic Self-Similar Plane Symmetric Solutions

Details Kinematic Self-Similar Plane Symmetric Solutions Kinematic Self-Similar Plane Symmetric Solutions

2006-12-06

arxiv.org/abs/gr-qc/0612034v1

Class.Quant.Grav. 24 (2007) 605-624

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, accepted for publication in Classical Quantum Gravity

Scientific paper

10.1088/0264-9381/24/3/006

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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