Observational Constraints on Dark Energy Models with $Λ$ as an Equilibrium Point

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Auteur principal: Paliathanasis, Andronikos
Format: Preprint
Publié: 2025
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author Paliathanasis, Andronikos
author_facet Paliathanasis, Andronikos
contents We investigate a dynamical reconstruction of the dark energy equation of state parameter by assuming that it satisfies a law of motion described by an autonomous second-order differential equation, with the limit of the cosmological constant as an equilibrium point. We determine the asymptotic solutions of this equation and use them to construct two families of parametric dark energy models, employing both linear and logarithmic parametrization with respect to the scale factor. We perform observational constraints by using the Supernova, the Cosmic Chronometers and the Baryon Acoustic Oscillations of DESI DR2. The constraint parameters are directly related with the initial value problem for the law of motion and its algebraic properties. The analysis shows that most of the models fit the observational data well with a preference to the models of the logarithmic parametrization. Furthermore, we introduce a new class of models as generalizations of the CPL model, for which the equilibrium point is a constant value rather than the cosmological constant. These models fit the data in a similar or better way to the CPL and the $Λ$CDM cosmological models.
format Preprint
id arxiv_https___arxiv_org_abs_2502_16221
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Observational Constraints on Dark Energy Models with $Λ$ as an Equilibrium Point
Paliathanasis, Andronikos
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
We investigate a dynamical reconstruction of the dark energy equation of state parameter by assuming that it satisfies a law of motion described by an autonomous second-order differential equation, with the limit of the cosmological constant as an equilibrium point. We determine the asymptotic solutions of this equation and use them to construct two families of parametric dark energy models, employing both linear and logarithmic parametrization with respect to the scale factor. We perform observational constraints by using the Supernova, the Cosmic Chronometers and the Baryon Acoustic Oscillations of DESI DR2. The constraint parameters are directly related with the initial value problem for the law of motion and its algebraic properties. The analysis shows that most of the models fit the observational data well with a preference to the models of the logarithmic parametrization. Furthermore, we introduce a new class of models as generalizations of the CPL model, for which the equilibrium point is a constant value rather than the cosmological constant. These models fit the data in a similar or better way to the CPL and the $Λ$CDM cosmological models.
title Observational Constraints on Dark Energy Models with $Λ$ as an Equilibrium Point
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2502.16221