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arXiv · 2103.16431

Dynamical Equilibrium States of a Class of Irrotational Non-Orthogonally Transitive $G_{2}$ Cosmologies I: The Conjecture of Chaotic Cosmological Inhomogeneity

C. G. Hewitt
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Abstract

The Einstein field equations for a class of irrotational non-orthogonally transitive $G_{2}$ cosmologies are written down as a system of partial differential equations. The equilibrium points are self-similar and can be written as a one-parameter, five-dimensional, ordinary differential equation. The corresponding cosmological models both evolve and have one-dimension of inhomogeneity. The major mathematical features of this ordinary differential equation are derived, and a cosmological interpretation is given. The relationship to the exceptional Bianchi models is explained and exploited to provide a conjecture about future generalizations.

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C. G. Hewitt. 2021-03-30. Dynamical Equilibrium States of a Class of Irrotational Non-Orthogonally Transitive $G_{2}$ Cosmologies I: The Conjecture of Chaotic Cosmological Inhomogeneity. https://doi.org/10.1088/1361-6382%2Fac0e46

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