Primordial Nucleosynthesis Constraints on Cosmic Quintessence and Brane-World Cosmology

Mathematics – Logic

Scientific paper

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Scientific paper

We describe constraints from big-bang nucleosynthesis on two recent cosmological models. One involves attempts to understand the apparent near coincidence of the present vacuum energy and matter energy in terms of dynamical attractor-like solutions for the evolution of a ``quintessence" scalar field. In these models the field couples with the dominant constituent and only acts like a cosmological constant after the onset of the matter dominated epoch. A generic feature of such solutions, however, is the possibility of significant energy density in the scalar field during the radiation dominated epoch. As such, these models can affect, and therefore be constrained by, primordial nucleosynthesis. We quantify constraints on the initial conditions and parameters for various effective potentials. Secondly, we analyze the constraints on brane-world cosmology whereby the universe is described as a three-brane embedded in a five-dimensional anti-de Sitter space. In this cosmology, the Friedmann equation is modified by extra terms which derive from existence of the extra dimensions. We concentrate on the ``dark radiation'' term. We show that, although only a small positive contribution is allowed, a much wider range of negative values is possible. Such a negative contribution can reconcile the tension between the observed primordial ^4He and D abundances.

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