Cosmological dynamics with non-linear interactions

Abstract

We consider a set of non-linear interactions between dark matter and dark energy which comprises couplings proportional to products of (powers of) the energy densities of both dark components and of the total energy. We demonstrate that under such conditions the final state of the Universe may differ substantially from that of the standard LCDM model. In particular, the ratio of the energy densities of dark matter and dark energy may approach a stable finite value or oscillate about such a value. Stationary solutions of this type require a phantom-type "bare" equation of state of the dark energy which, however, does not lead to a big-rip singularity. A corresponding analytic solution for a particular case is shown to be consistent with the supernova type Ia (SNIa) data from the Union2 set. For a broader class of interactions, a dynamical system analysis classifies stationary points with emphasis on their potential relevance for the coincidence problem.

23 pages, 2 figures, 3 tables, comments added, accepted by Class. Quantum Grav

References in corpus (16)

• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Cosmology and the Fate of Dilatation Symmetry
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Dark Energy and Gravity
• Dark Energy and Dark Gravity
• Dynamics of interacting dark energy
• Challenges for scaling cosmologies
• Interacting holographic dark energy
• Testing the interaction between dark energy and dark matter via latest observations
• On holographic dark-energy models
• Dynamics of Interacting Quintessence Models: Observational Constraints
• Cosmological model with interactions in the dark sector
• Interacting Cosmological Fluids and the Coincidence Problem
• Dark Energy: A Unifying View
• A quantitative criteria for the coincidence problem

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