Kinematic Self-Similar Solutions of Locally Rotationally Symmetric Spacetimes

Details Kinematic Self-Similar Solutions of Locally Rotationally Symmetric Spacetimes Kinematic Self-Similar Solutions of Locally Rotationally Symmetric Spacetimes

2010-02-16

arxiv.org/abs/1002.2992v1

Brazilian J. Physics 40(2010)210-216

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, accepted for publication Brazilian J. Physics

Scientific paper

This paper contains locally rotationally symmetric kinematic self-similar perfect fluid and dust solutions. We consider three families of metrics which admit kinematic self-similar vectors of the first, 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 orthogonal case gives contradiction both in perfect fluid and dust cases for all the three metrics while the tilted case reduces to the parallel case in both perfect fluid and dust cases for the second metric. The remaining cases give self-similar solutions of different kinds. We obtain a total of seventeen independent solutions out of which two are vacuum. The third metric yields contradiction in all the cases.

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