84 citations · 656 across the 80 of their papers we have counts for
5 papers · 2 filters
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…
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…
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…
Symmetries of homogeneous cosmologies
Spiros Cotsakis, Peter Leach, Hara Pantazi
We reformulate the dynamics of homogeneous cosmologies with a scalar field matter source with an arbitrary self-interaction potential in the language of jet bundles and extensions…
Integrable spherically symmetric p-brane models associated with Lie algebras
S. Cotsakis, V. R. Gavrilov, V. N. Melnikov
A classical model of gravity theory with several dilatonic scalar fields and differential forms admitting an interpretation in terms of intersecting p-branes is studied in (pseudo)…