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

Autor:	Hewitt, C. G.
Rok vydání:	2021
Předmět:	General Relativity and Quantum Cosmology Mathematical Physics
Druh dokumentu:	Working Paper
DOI:	10.1088/1361-6382/ac0e46
Popis:	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. Comment: Only change is added reference to companion paper arxiv.org:2103.16428
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.16431 Zobrazit plný text záznamu View this record from Arxiv