Structure formation with a self-tuning scalar field

Abstract

A scalar field with an exponential potential has the particular property that it is attracted into a solution in which its energy scales as the dominant component (radiation or matter) of the Universe, contributing a fixed fraction of the total energy density. We study the growth of perturbations in a CDM dominated $\Omega =1$ universe with this extra field, with an initial flat spectrum of adiabatic fluctuations. The observational constraints from structure formation are satisfied as well, or better, than in other models, with a contribution to the energy density from the scalar field ${\Omega }_{\varphi }\sim 0.1$ which is small enough to be consistent with entry into the attractor prior to nucleosynthesis.

4 pages, uses RevTex, 2 figures

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