4 papers
Symmetry, singularities and intregrability in complex dynamics VII: Integrability Properties of FRW-Scalar Cosmologies
Peter Leach, Spiros Cotsakis, John Miritzis
This paper considers some physically interesting cosmological dynamical systems in the FRW-scalarfield category which are examined for integrability according to the criterion of P…
Scalar-tensor -cosmologies
Spiros Cotsakis, John Miritzis
We show that the scalar-tensor -model action is conformally equivalent to general relativity with a minimally coupled wavemap with a particular target metric. Inflation on the s…
Algebraic integrability of FRW-scalar cosmologies
Spiros Cotsakis, John Miritzis
For dynamical systems of dimension three or more the question of integrability or nonintegrability is extended by the possibility of chaotic behaviour in the general solution. We d…
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…