Unified description of the dynamics of quintessential scalar fields

Abstract

Using the dynamical system approach, we describe the general dynamics of cosmological scalar fields in terms of critical points and heteroclinic lines. It is found that critical points describe the initial and final states of the scalar field dynamics, but that heteroclinic lines which give a more complete description of the evolution in between the critical points. In particular, the heteroclinic line that departs from the (saddle) critical point of perfect fluid-domination is the representative path in phase space of quintessence fields that may be viable dark energy candidates. We also discuss the attractor properties of the heteroclinic lines, and their importance for the description of thawing and freezing fields.

Minor changes to the text and two new figures, main conclusions unchanged. 12 pages, 11 figures, uses RevTex

References in corpus (10)

• Dynamics of dark energy
• Thawing quintessence with a nearly flat potential
• Hilltop Quintessence
• Exact Analysis of Scaling and Dominant Attractors Beyond the Exponential Potential
• On the dynamics of a quadratic scalar field potential
• Dynamics of Generalized Assisted Inflation
• Can noncommutative effects account for the present speed up of the cosmic expansion?
• Can we ever distinguish between quintessence and a cosmological constant?
• Confronting Tracker Field Quintessence with Data
• Supersymmetric classical cosmology

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