84 citations · 656 across the 80 of their papers we have counts for
7 papers · 1 filter
A note on wavemap-tensor cosmologies
Spiros Cotsakis, John Miritzis
We examine theories of gravity which include finitely many coupled scalar fields with arbitrary couplings to the curvature (wavemaps). We show that the most general scalar-tensor $…
Current Trends in Mathematical Cosmology
Spiros Cotsakis
We present an elementary account of mathematical cosmology through a series of important unsolved problems. We introduce the fundamental notion of `a cosmology' and focus on the is…
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…
Symmetry, singularities and integrability in complex dynamics V: Complete symmetry groups of certain relativistic spherically symmetric systems
P. G. L. Leach, M. C. Nucci, S. Cotsakis
We show that the concept of complete symmetry group introduced by Krause (J. Math. Phys.35 (1994) 5734-5748) in the context of the Newtonian Kepler problem has wider applicability,…
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…