Classical and Quantum Gravity · 1993 · 61 citations · 12 references
Natural SciencesMathematicsPhysicsCosmologyDynamical SystemsMathematical PhysicsEinstein Field EquationsGeneral RelativityPhysical CosmologyTheoretical CosmologyBianchi CosmologiesCosmology In General RelativityDynamical CosmologyEinstein Equations With Matter FieldsEinstein Field Equations In CosmologyGeneral Relativity In Cosmology
The authors write the Einstein field equations for the orthogonal class B Bianchi cosmologies as an autonomous DE in terms of expansion-normalized dimensionless variables. The theory of dynamical systems is then used to give a qualitative description of the evolution of the models. Comparisons are made with other work on this problem.
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A class of homogeneous cosmological models
George Ellis, M. A. H. MacCallum · Communications in Mathematical Physics · 1969 · 857 citations
Natural Sciences, Astronomy, Physics +12
C. B. Collins · Communications in Mathematical Physics · 1971 · 162 citations
Asymptotic stability of Bianchi type universes
John D. Barrow, D. H. Sonoda · Physics Reports · 1986 · 119 citations