Exterior Differential System for Cosmological G2 Perfect Fluids and Geodesic Completeness

Abstract

In this paper a new formalism based on exterior differential systems is derived for perfect-fluid spacetimes endowed with an abelian orthogonally transitive G2 group of motions acting on spacelike surfaces. This formulation allows simplifications of Einstein equations and it can be applied for different purposes. As an example a singularity-free metric is rederived in this framework. A sufficient condition for a diagonal metric to be geodesically complete is also provided.

27 pages, 0 figures, LaTeX2e, to be published in Classical and Quantum Gravity

References in corpus (4)

• Singularity Theorems and Their Consequences
• A singularity-free space-time
• Singularity-Free Cylindrical Cosmological Model
• New Non-Separable Diagonal Cosmologies

Cited by in corpus (8)

• A singularity theorem based on spatial averages
• A wide family of singularity-free cosmological models
• Singularity-free Cosmological Solutions with Non-rotating Perfect Fluids
• Geodesic Completeness of Orthogonally Transitive Cylindrical Spacetimes
• Geodesically complete nondiagonal inhomogeneous cosmological solutions in dilatonic gravity with a stiff perfect fluid
• Non-singular G2 stiff fluid cosmologies
• Singularity free cosmological solutions of Einstein-Maxwell equations
• Non-singular radiation cosmological models