Spherically symmetric spacetimes and kinematic self-similarity

Details Spherically symmetric spacetimes and kinematic self-similarity Spherically symmetric spacetimes and kinematic self-similarity

Aug 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998cqgra..15.2397b&link_type=abstract

Classical and Quantum Gravity, Volume 15, Issue 8, pp. 2397-2414 (1998).

Physics

19

Scientific paper

The perfect-fluid Einstein field equations in the case of spherical symmetry reduce to an autonomous system of ordinary differential equations when a spacetime is assumed to admit a kinematic self-similarity (of either the second or zeroth kind). The qualitative properties of solutions of this system of equations, and in particular their asymptotic behaviour, are investigated. The geodesic subcase and a subcase containing the static models are examined in detail. In particular, exact solutions are obtained and the asymptotic behaviour of the solutions is fully studied in these important subcases. Exact solutions admitting a homothetic vector are found to play an important role in describing the asymptotic behaviour of the kinematic self-similar models.

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