A two-scalar model for a small but nonzero cosmological constant

Abstract

We revisit a model of the two-scalar system proposed previously for understanding a small but nonzero cosmological constant. The model provides solutions of the scalar-fields energy s which behaves truly constant for a limited time interval rather than in the way of tracker- or scaling-type variations. This causes a mini-inflation, as indicated by recent observations. As another novel feature, s and the ordinary matter density m fall off always side by side, but interlacing, also like (time)-2 as an overall behavior in conformity with the scenario of a decaying cosmological constant. A mini-inflation occurs whenever s overtakes m, which may happen more than once, shedding a new light on the coincidence problem. We present a new example of the solution, and offer an intuitive interpretation of the mechanism of the nonlinear dynamics. We also discuss a chaos-like nature of the solution.

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