Evolution of plane-symmetric self-similar spacetimes containing perfect fluid.

Details Evolution of plane-symmetric self-similar spacetimes containing perfect fluid. Evolution of plane-symmetric self-similar spacetimes containing perfect fluid.

Dec 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979gregr..11..433s&link_type=abstract

General Relativity and Gravitation, Volume 11, Issue 6, pp.433-451

Mathematics

Logic

4

Cosmological Models, Relativity:Space-Time

Scientific paper

Space-times with plane symmetry are considered which also admit a conformal group such that the metric depends on the variablez=x 1/x 0 (homothetic or self-similar solutions). Different regions depending on the space-time character ofz can be discerned in each solution: thet region whenz is timelike and thes-region whenz is spacelike. Exact solutions of the Einstein equations are given for an energy-momentum tensor corresponding to an ideal fluid with equation of statep=(λ-1)e. Different types of solutions occur depending upon the value of λ in the equation of state, and these are studied using phase-plane methods. The solutions of considered type in the Minkowski space-time are also given.

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