Infinite Kinematic Self-Similarity and Perfect Fluid Spacetimes |
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| Authors: | Alicia M Sintes Patricia M Benoit Alan A Coley |
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| Institution: | (1) Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Golm, Germany;(2) Department de Física, Universitat de les Illes Balears, E-07071 Palma de Mallorca, Spain;(3) Department of Mathematics, Statistics and Computing Science, The University of New Brunswick, Saint John, NB, Canada, E2L 4L5;(4) Department of Mathematics and Statistics, Dalhousie University, Halifax, NS, Canada, B3H 3J5 |
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| Abstract: | Perfect fluid spacetimes admitting a kinematic self-similarity of infinite type are investigated. In the case of plane, spherically or hyperbolically symmetric space-times the field equations reduce to a system of autonomous ordinary differential equations. The qualitative properties of solutions of this system of equations, and in particular their asymptotic behavior, are studied. Special cases, including some of the invariant sets and the geodesic case, are examined in detail and the exact solutions are provided. The class of solutions exhibiting physical self-similarity are found to play an important role in describing the asymptotic behavior of the infinite kinematic self-similar models. |
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| Keywords: | Perfect fluid space-times self-similarity |
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