Dynamics of a scalar field in Robertson-Walker spacetimes

Abstract

We analyze the dynamics of a single scalar field in Friedmann-Robertson-Walker universes with spatial curvature. We obtain the fixed point solutions which are shown to be late time attractors. In particular, we determine the corresponding scalar field potentials which correspond to these stable solutions. The analysis is quite general and incorporates expanding and contracting universes with both positive and negative scalar potentials. We demonstrate that the known power law, exponential, and de-Sitter solutions are certain limits of our general set of solutions.

10 pages, v2:references added. Accepted for publication in PRD

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• Background evolution and growth of structures in interacting dark energy through dynamical system analysis
• Stability analysis of an autonomous system in loop quantum cosmology
• Stability analysis of f(Q) gravity models using dynamical systems
• Cosmological Evolution of Two-Scalar fields Cosmology in the Jordan frame
• Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation
• Generalized Scalar Field Cosmologies: A Global Dynamical Systems Formulation
• Perturbed dark energy: classical scalar field versus tachyon
• How Slowly can the Early Universe Expand?
• Scalar field evolution at background and perturbation levels for a broad class of potentials
• Dynamics of tachyon field in spatially curved FRW universe
• Hyperbolic inflation in the Jordan frame
• Cosmological solutions with time-delay