Dynamics of nonlinear interacting dark energy models

Abstract

We investigate the cosmological dynamics of interacting dark energy models in which the interaction function is a nonlinear in terms of the energy densities. Considering explicitly the interaction between a pressureless dark matter and a scalar field, minimally coupled to Einstein gravity, we explore the dynamics of the spatially flat FLRW universe for the exponential potential of the scalar field.. We perform the stability analysis for the three nonlinear interaction models of our consideration through the analysis of critical points and we investigate the cosmological parameters and we discuss the physical behaviour at the critical points. From the analysis of the critical points we find a number of possibilities that include the stable late time accelerated solution, $w$CDM-like solution, radiation-like solution and moreover the unstable inflationary solution as well.

15 pages, 10 figures

References in corpus (17)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Indications of a late-time interaction in the dark sector
• Dynamics of interacting dark energy
• Consequences of dark matter-dark energy interaction on cosmological parameters derived from SNIa data
• Cosmologies with Energy Exchange
• Le Chatelier-Braun principle in cosmological physics
• Probing the interaction between dark matter and dark energy in the presence of massive neutrinos
• Dark Interactions and Cosmological Fine-Tuning
• Interacting models may be key to solve the cosmic coincidence problem
• Toward a solution of the coincidence problem
• A new interacting two fluid model and its consequences
• Constraining a dark matter and dark energy interaction scenario with a dynamical equation of state
• Coupled dark energy with perturbed Hubble expansion rate
• Finsler-Randers Cosmology: dynamical analysis and growth of matter perturbations
• Extended Phase Space Analysis of Interacting Dark Energy Models in Loop Quantum Cosmology

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