Linear and non-linear perturbations in dark energy models

Abstract

In this work we discuss observational aspects of three time-dependent parameterisations of the dark energy equation of state $w(z)$. In order to determine the dynamics associated with these models, we calculate their background evolution and perturbations in a scalar field representation. After performing a complete treatment of linear perturbations, we also show that the non-linear contribution of the selected $w(z)$ parameterisations to the matter power spectra is almost the same for all scales, with no significant difference from the predictions of the standard $\Lambda$CDM model.

18 pages, 6 figures. Accepted in JCAP

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• Physical constraints on interacting dark energy models
• New general parametrization of quintessence fields and its observational constraints
• New parameterization for unified dark matter and dark energy
• Thermodynamic Constraints on the Dark Sector
• Bayesian deep learning for dark energy
• Linear perturbations spectra for dynamical dark energy inspired by modified gravity