Cosmological coincidence problem in interacting dark energy models

Abstract

An interacting dark energy model with interaction term $Q={\lambda }_{m}H{\rho }_m+{\lambda }_{d}H{\rho }_d$ is considered. By studying the model near the transition time, in which the system crosses the w=-1 phantom-divide-line, the conditions needed to overcome the coincidence problem is investigated. The phantom model, as a candidate for dark energy, is considered and for two specific examples, the quadratic and exponential phantom potentials, it is shown that it is possible the system crosses the w=-1 line, meanwhile the coincidence problem is alleviated, the two facts that have root in observations.

15 pages, LaTeX. Some minor explanations are added. To be published in Phys. Rev. D

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