Scalar models for the generalized Chaplygin gas and the structure formation constraints

Abstract

The generalized Chaplygin gas model represents an attempt to unify dark matter and dark energy. It is characterized by a fluid with an equation of state $p=-A/{\rho }^{\alpha }$. It can be obtained from a generalization of the DBI action for a scalar, tachyonic field. At background level, this model gives very good results, but it suffers from many drawbacks at perturbative level. We show that, while for background analysis it is possible to consider any value for $\alpha$, the perturbative analysis must be restricted to positive values of $\alpha$. This restriction can be circumvented if the origin of the generalized Chaplygin gas is traced back to a self-interacting scalar field, instead of the DBI action. But, in doing so, the predictions coming from formation of large scale structures reduce the generalized Chaplygin gas model to a kind of quintessence model, and the unification scenario is lost, if the scalar field is the canonical one. However, if the unification condition is imposed from the beginning as a prior, the model may remain competitive. More interesting results, concerning the unification program, are obtained if a non-canonical self-interacting scalar field, inspired by Rastall's theory of gravity, is imposed. In this case, an agreement with the background tests is possible.

Latex file, 25 pages, 33 figures in eps format. New section on scalar models. Accepted for publication in Gravitation&Cosmology

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• Bouncing solutions in Rastall's theory with a barotropic fluid
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• Note on the thermodynamics and the speed of sound of a scalar field
• Contraints on unified models for dark matter and dark energy using H(z)
• Crossing the phantom divide line as an effect of quantum transitions
• Study on anisotropic strange stars in $f(\mathbb{T},\mathcal{T})$ gravity
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• Generalized models of unification of dark matter and dark energy
• Effects of Rastall parameter on perturbation of dark sectors of the Universe
• Dynamical system analysis in multiscalar-torsion cosmology
• Slow-roll Natural & Hilltop Inflation in Rastall Gravity
• Introducing quantum effects in classical theories