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Slice Energy and Conformal Frames in Theories of Gravitation
Spiros Cotsakis
We examine and compare the behaviour of the scalar field slice energy in different classes of theories of gravity, in particular higher-order and scalar-tensor theories. We find a…
Cosmological Singularities
Spiros Cotsakis
An overview is provided of the singularity theorems in cosmological contexts at a level suitable for advanced graduate students. The necessary background from tensor and causal geo…
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…
Is Nature Generic?
Spiros Cotsakis, Peter Leach
An introductory guide to mathematical cosmology is given focusing on the issue of the genericity of various important results which have been obtained during the last thirty or so…
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…