Properties of cosmologies with dynamical pseudo Nambu-Goldstone bosons

Details Properties of cosmologies with dynamical pseudo Nambu-Goldstone bosons Properties of cosmologies with dynamical pseudo Nambu-Goldstone bosons

2000-04-11

arxiv.org/abs/astro-ph/0004138v4

Phys.Rev. D63 (2001) 023503

Astronomy and Astrophysics

Astrophysics

22 pages, RevTeX, 13 figures, epsf. v3: References added, plus a few sentences to clarify some small points; v4: Typos fixed

Scientific paper

10.1103/PhysRevD.63.023503

We study observational constraints on cosmological models with a quintessence field in the form of a dynamical pseudo Nambu-Goldstone boson. After reviewing the properties of the solutions, from a dynamical systems phase space analysis, we consider the constraints on parameter values imposed by luminosity distances from the 60 Type Ia supernovae published by Perlmutter et al., and also from gravitational lensing statistics of distant quasars. In the case of the Type Ia supernovae we explicitly allow for the possibility of evolution of the peak luminosities of the supernovae sources, using simple empirical models which have been recently discussed in the literature. We find weak evidence to suggest that the models with supernovae evolution fit the data better in the context of the quintessence models in question. If source evolution is a reality then the greatest challenge facing these models is the tension between current value of the expansion age, H_0 t_0, and the fraction of the critical energy density, Omega_{phi0}, corresponding to the scalar field. Nonetheless there are ranges of the free parameters which fit all available cosmological data.

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