A dynamical systems approach to Bianchi cosmologies - Orthogonal models of class A

Details A dynamical systems approach to Bianchi cosmologies - Orthogonal models of class A A dynamical systems approach to Bianchi cosmologies - Orthogonal models of class A

Oct 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6.1409w&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, Oct. 1, 1989, p. 1409-1431. Research supported by NSERC.

Mathematics

Dynamical Systems

78

Astronomical Models, Big Bang Cosmology, Dynamical Systems, Einstein Equations, Asymptotic Properties, Differential Equations, Ideal Fluids, Linear Equations, Orbit Calculation, Set Theory

Scientific paper

This paper considers the problem of describing the asymptotic states of orthogonal spatially homogeneous cosmologies, 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 differential equations, so that results from the theory of dynamical systems can be used. The emphasis is on describing certain general properties of the orbits of the differential equations and the local stability of the equilibrium points.

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