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gr-qc2000
Ever-expanding, Isotropizing, Quadratic Cosmologies
Spiros Cotsakis, George Flessas, Peter Leach +1
We consider some aspects of the global evolution problem of Hamiltonian homogeneous, anisotropic cosmologies derived from a purely quadratic action functional of the scalar curvatu…
gr-qc2000
Symmetry, Singularities and Integrability in Complex Dynamics IV: Painleve Integrability of Isotropic Cosmologies
John Miritzis, Peter Leach, Spiros Cotsakis
We apply the results of singularity analysis to the isotropic cosmological models in general relativity and string theory with a variety of matter terms. For some of these models t…
nlin.SI2000
Symmetry, singularities and integrability in complex dynamics II: Rescaling and time-translation in two-dimensional systems
Peter Leach, Spiros Cotsakis, George Flessas
The explicit integrability of second order ordinary differential equations invariant under time-translation and rescaling is investigated. Quadratic systems generated from the line…