2015/02/28 by Mateja Gosenca, Peter Coles · 9 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Dynamical systems theory #Equation of state #Field (mathematics) #Geometry #Kinetic term #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Relativity and Gravitational Theory #Scalar (mathematics) #Scalar curvature #Scalar field #Statistical physics #astro-ph.CO #gr-qc
paper · pdf · doi:10.21105/astro.1502.04020
published in The Open Journal of Astrophysics 1(1) · 17 pages, 11 figures. Amended in response to peer review in the Open Journal of Astrophysics
arxiv created 2016/02/08 · openalex publication_date 2016/06/29 · arxiv updated 2016/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We explore the dynamical behaviour of cosmological models involving a scalar field (with an exponential potential and a canonical kinetic term) and a matter fluid with spatial curvature included in the equations of motion. Using appropriately defined parameters to describe the evolution of the scalar field energy in this situation, we find that there are two extra fixed points that are not present in the case without curvature. We also analyse the evolution of the effective equation-of-state parameter for different initial values of the curvature.