A class of plane symmetric perfect-fluid cosmologies with a Kasner-like singularity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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Details

LaTeX, 15 pages, no figures, to appear in CQG, correction to existence proof

Scientific paper

10.1088/0264-9381/17/10/306

We prove the existence of a class of plane symmetric perfect-fluid
cosmologies with a (-1/3, 2/3, 2/3) Kasner-like singularity. These solutions of
the Einstein equations depend on two smooth functions of one space coordinate.
They are constructed by solving a symmetric hyperbolic system of Fuchsian
equations.

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