Exterior differential system for cosmological perfect fluids and geodesic completeness

DOI10.1088/0264-9381/16/3/023zbMath0939.83014arXivgr-qc/9812039OpenAlexW3099680504MaRDI QIDQ4699876

L. M. González-Romero, Leonardo Fernández-Jambrina

Publication date: 18 November 1999

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9812039

zbMATH Keywords

integrabilityspace-timesgeodesic completenessspacelike congruencesperfect-fluidCartan and Einstein field equationsdiagonal inhomogeneous cosmological modelsexterior system of equations

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Applications of local differential geometry to the sciences (53B50)

Related Items (6)

Geodesic completeness of orthogonally transitive cylindrical space–times ⋮ Nonsingular G2 stiff fluid cosmologies ⋮ NON-SINGULAR RADIATION COSMOLOGICAL MODELS ⋮ SINGULARITY FREE COSMOLOGICAL SOLUTIONS OF EINSTEIN–MAXWELL EQUATIONS ⋮ STIFF PERFECT FLUID SINGULARITY-FREE DIAGONAL INHOMOGENEOUS COSMOLOGIES IN SCALAR–TENSOR THEORIES ⋮ A SURVEY ON GEODESIC COMPLETENESS OF NONDEGENERATE SUBMANIFOLDS IN SEMI-RIEMANNIAN GEOMETRY

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