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

Abstract

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 $\Lambda$CDM cosmological models.

arXiv comment20 pages, 7 Figures, references added, datasets updated to include DESI DR2, to appear in PDU

References in corpus (42)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Cosmological Constant - the Weight of the Vacuum
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• The 3D power spectrum of galaxies from the SDSS
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Exponential potentials and cosmological scaling solutions
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
• Challenges for $\Lambda$CDM: An update
• Cobaya: Code for Bayesian Analysis of hierarchical physical models
• Dark Energy vs. Modified Gravity
• Oscillating Quintom and the Recurrent Universe
• Dynamics of interacting dark energy
• Constraining the equation of state of the Universe from Distant Type Ia Supernovae and Cosmic Microwave Background Anisotropies
• A parametric model for dark energy
• Theoretical Models of Dark Energy
• Eppur è piatto? The cosmic chronometer take on spatial curvature and cosmic concordance
• Opportunities for future supernova studies of cosmic acceleration
• Robust Preference for Dynamical Dark Energy in DESI BAO and SN Measurements
• Quintom cosmologies admitting either tracking or phantom attractors
• Probing the dynamics of dark energy with novel parametrizations
• A Comparison of Thawing and Freezing Dark Energy Parametrizations
• Can dark energy be dynamical?
• General Analytic Solutions of Scalar Field Cosmology with Arbitrary Potential
• Vector Coherent Oscillation Dark Matter
• A New Equation of State for Dark Energy Model
• Parametric and nonparametric methods hint dark energy evolution
• On Oscillating Dark Energy
• Exact Solutions in Chiral Cosmology
• Constraining the dark energy models with H(z) data: an approach independent of $H_0$
• Imprints of an extended Chevallier-Polarski-Linder parametrization on the large scale of our universe
• The dark side of the torsion: Dark Energy from propagating torsion
• $R^2$ Inflation Revisited and Dark Energy Corrections
• Testing an oscillatory behavior of dark energy
• Oscillating dark energy in light of the latest observations and its impact on the Hubble tension
• Dynamical system approach to running $\Lambda$ cosmological models
• $\mathcal{N}$-field cosmology in hyperbolic field space: stability and general solutions
• Swiss-cheese cosmologies with variable $G$ and $\Lambda$ from the renormalization group
• Studying Lagrangian theories with machine learning: a toy model

Cited by in corpus (15)

• Cosmological constraints on nonphantom dynamical dark energy with DESI Data Release 2 Baryon Acoustic Oscillations: A 3$\sigma$+ lensing anomaly
• Reconstructing dark energy with model independent methods after DESI DR2 BAO
• Dark Energy within the Generalized Uncertainty Principle in Light of DESI DR2
• Constraints on Barrow and Tsallis Holographic Dark Energy from DESI DR2 BAO data
• Shape of Dark Energy: Constraining Its Evolution with a General Parametrization
• Decay of $f(R)$ quintessence into dark matter: mitigating the Hubble tension?
• Beyond Two Parameters: Revisiting Dark Energy with the Latest Cosmic Probes
• Late-time Background Constraints on Linear and Non-linear Interacting Dark Energy after DESI DR2
• Revisiting CPL with sign-switching density: To cross or not to cross the NECB
• Is Dark Energy Changing? Probing the Universe's Expansion with present and future astronomical probes
• Crunching, Bouncing, and Cyclical Cosmologies from Dark Sector Interactions
• Is the $\Lambda$CDM Model in Crisis?
• Resolving the Hubble Tension in the Early Dark Energy Framework with JWST and DESI Data
• Unifying the Dark Sector with the New Generalized Chaplygin Gas: Observational Constraints
• Modifying $\Lambda$CDM dynamics via out-of-equilibrium axions: reconciling SH0ES and DESI $H_0$ values