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

Abstract

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.

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

References in corpus (4)

• Analytic description of singularities in Gowdy spacetimes
• Isotropic cosmological singularities 2: The Einstein-Vlasov system
• Dynamics of spatially homogeneous solutions of the Einstein-Vlasov equations which are locally rotationally symmetric
• Isotropic cosmological singularities 1: Polytropic perfect fluid spacetimes

Cited by in corpus (11)

• Fuchsian analysis of singularities in Gowdy spacetimes beyond analyticity
• Theorems on existence and global dynamics for the Einstein equations
• A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation
• Fuchsian analysis of S^2xS^1 and S^3 Gowdy spacetimes
• The maximal development of near-FLRW data for the Einstein-scalar field system with spatial topology ${\mathbb{S}}^3$
• Local and global existence theorems for the Einstein equations
• Some Plane Symmetric Inhomogeneous Cosmological Models in the Scalar-Tensor Theory of Gravitation
• Plane Symmetric Inhomogeneous Cosmological Models with a Perfect Fluid in General Relativity
• Fuchsian methods and spacetime singularities
• $C$-field cosmological models: revisited
• Expanding, shearing and accelerating isotropic plane symmetric universe with conformal Kasner geometry