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

Keith Anguige
2000 Classical and quantum gravity  
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.
doi:10.1088/0264-9381/17/10/306 fatcat:g3z2lz4rybfvfj7o5rjhwo345e