Dynamical Analysis of Scalar Field Cosmologies with Spatial Curvature

Abstract

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.

17 pages, 11 figures. Amended in response to peer review in the Open Journal of Astrophysics

References in corpus (11)

• Dynamics of dark energy
• Disappearing cosmological constant in f(R) gravity
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Inflation, dark matter and dark energy in the string landscape
• Ghost Constraints on Modified Gravity
• Interacting quintessence from a variational approach Part I: algebraic couplings
• Dynamics of cosmological scalar fields
• Dynamics of a scalar field in Robertson-Walker spacetimes
• Is the Cosmological Coincidence a Problem?
• How Flat is Our Universe Really?

Cited by in corpus (6)

• Dynamical systems applied to cosmology: dark energy and modified gravity
• To curve, or not to curve: Is curvature-assisted quintessence observationally viable?
• Constructing Viable Interacting Dark Matter and Dark Energy Models: A Dynamical Systems Approach
• Constraining Spatial Curvature with Priors from Swampland Conjectures
• Breaking Free from the Swampland of Impossible Universes through the DESI Portal
• Exponential Quintessence Model: Analytical Quantification of the Fine-Tuning Problem in Dark Energy