A class of perfect-fluid cosmologies with polarised Gowdy symmetry and a Kasner-like singularity

Abstract

We prove the existence of a class of perfect-fluid cosmologies with polarised Gowdy symmetry and a Kasner-like singularity. These solutions of the Einstein equations depend on four free functions of one space coordinate and are constructed by solving a system of Fuchsian equations.

8 pages, LaTeX

Cited by in corpus (4)

• Theorems on existence and global dynamics for the Einstein equations
• Fuchsian methods and spacetime singularities
• The Dynamics of Inhomogeneous Cosmologies
• Kasner-like behaviour for subcritical Einstein-matter systems