Orthogonally transitive G2 cosmologies

Details Orthogonally transitive G2 cosmologies Orthogonally transitive G2 cosmologies

Dec 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cqgra...7.2295h&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 7, Dec. 1990, p. 2295-2316.

Mathematics

Logic

40

Big Bang Cosmology, Cosmology, Asymptotic Properties, Einstein Equations, Hyperbolic Systems, Nonlinear Systems, Partial Differential Equations

Scientific paper

A new framework for analyzing orthogonally transitive G2 cosmologies is presented, with a view to describing their asymptotic behavior near the big bang and at late times. A perfect fluid source with a linear equation of state and zero cosmological constant is assumed. The Einstein field equations are written as an autonomous system of first-order quasi-linear partial differential equations without constraints, in terms of dimensionless variables. The equilibrium points of this system are referred to as dynamical equilibrium states, and it is shown that the corresponding cosmological models are self-similar, but not necessarily spatially homogeneous. The possible role of the dynamical equilibrium states is illustrated by analyzing the asymptotic behavior of a class of diagonal G2 cosmologies.

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