The Lambert $W$ equation of state in light of DESI BAO

Abstract

We investigate a unified dark-fluid model whose effective equation of state (EoS) is described by logarithmic and power-law terms involving the Lambert $W$ function. The model parameters are constrained using BAO data, including DESI measurements, together with Pantheon+ Type Ia supernova observations and direct Hubble parameter measurements. The analysis yields ${\theta }_1=0.087\pm 0.011$, ${\theta }_2=-3.35\pm 0.13$, $r_d=146\pm 2.5$~Mpc, and $H_0=67.4\pm 1.2{\text{kms}}^{-1}{\text{Mpc}}^{-1}$. The inferred Hubble constant, $H_0$, is consistent with the Planck 2018 measurement and remains in tension with local determinations, thereby reflecting the Hubble tension. We further examine the evolution of deceleration, effective EoS, and jerk parameters, complemented by the $Om(z)$ diagnostic. Our analysis reveals that the model provides a consistent description of late-time cosmic acceleration. Finally, the observational viability of the model is assessed using Akaike and Bayesian information criteria and compared with that of the standard $\Lambda$CDM model.

arXiv comment17 pages, 8 figures, 3 tables, published in New Astron

References in corpus (57)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• emcee: The MCMC Hammer
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• An alternative to quintessence
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Cosmological Tracking 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: Cosmological Constraints
• Tensions between the Early and the Late Universe
• DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
• Information criteria for astrophysical model selection
• The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• The 2dF Galaxy Redshift Survey: The power spectrum and the matter content of the universe
• Two new diagnostics of dark energy
• Jerk, snap, and the cosmological equation of state
• Can the Chaplygin gas be a plausible model for dark energy?
• The Expansion of the Universe is Faster than Expected
• Cosmology Intertwined III: $f{\sigma }_8$ and $S_8$
• The end of unified dark matter?
• Statefinder diagnostic for holographic dark energy model
• A kinematical approach to dark energy studies
• Are Chaplygin gases serious contenders to the dark energy throne?
• New generalized Chaplygin gas as a scheme for unification of dark energy and dark matter
• Kinematic Constraints to the Transition Redshift from SNe Ia Union Data
• Lambert W Function for Applications in Physics
• A litmus test for Lambda
• Statefinder diagnosis for the interacting model of holographic dark energy
• Generalizing the generalized Chaplygin gas
• The Structure of Structure Formation Theories
• Bayesian analysis of $f(T)$ gravity using $f{\sigma }_8$ data
• A divergence free parametrization of deceleration parameter for scalar field dark energy
• Reconstruction of Deceleration Parameters from Recent Cosmic Observations
• Cosmic chronometers to calibrate the ladders and measure the curvature of the Universe. A model-independent study
• The Logotropic Dark Fluid as a unification of dark matter and dark energy
• Constraints on reconstructed dark energy model from SN Ia and BAO/CMB observations
• Cosmological parameter inference with Bayesian statistics
• Constraints on a generalized deceleration parameter from cosmic chronometers
• Extended logotropic fluids as unified dark energy models
• Effective field description of the Anton-Schmidt cosmic fluid
• A complete cosmic scenario from inflation to late time acceleration: Non-equilibrium thermodynamics in the context of particle creation
• Matter Power Spectrum for the Generalized Chaplygin Gas Model: The Newtonian Approach
• Comparison between the Logotropic and $\Lambda$CDM models at the cosmological scale
• Constraining Logotropic Unified Dark Energy Models
• Testing generalized logotropic models with cosmic growth
• Dark energy reconstructions combining BAO data with galaxy clusters and intermediate redshift catalogs
• An extended analysis for a generalized Chaplygin gas model
• The Logotropic Dark Fluid: Observational and Thermodynamic Constraints
• Dynamical system analysis of logotropic dark fluid with a power law in the rest-mass energy density
• A new parametrization of Hubble function and Hubble tension
• Testing Lambert$W$ equation of state with observational Hubble parameter data
• Growth of Perturbations using Lambert$W$ Equation of State
• Ideal gas with a varying (negative absolute) temperature: An alternative to dark energy?