Qualitative approach of the general vacuum Bianchi VI and VII cosmological models near the singularity

DOI10.1007/BF00763309zbMath0682.53079OpenAlexW1967506744MaRDI QIDQ1824231

Yves de Rop

Publication date: 1989

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00763309

zbMATH Keywords

cosmological modelsfield equationsinitial singularitychaos-generating termsKasnerian metric

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)

Uses Software

• EXCALC

Cites Work

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• Exterior calculus on the computer: The REDUCE-package EXCALC applied to general relativity and to the Poincaré gauge theory
• Using EXCALC to study nondiagonal multidimensional spatially homogeneous cosmologies
• The dynamical degrees of freedom in spatially homogeneous cosmology
• A class of homogeneous cosmological models
• More qualitative cosmology
• Magnetohydrodynamical model of pulsar rotation. Exact periodic solutions
• Empty space-times admitting a three parameter group of motions

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