Pressure Parametrization of Dark Energy: First and Second-Order Constraints with Latest Cosmological Data

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Main Authors: Cheng, Hanyu, Di Valentino, Eleonora, Escamilla, Luis A., Sen, Anjan A., Visinelli, Luca
Format: Preprint
Published: 2025
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author Cheng, Hanyu
Di Valentino, Eleonora
Escamilla, Luis A.
Sen, Anjan A.
Visinelli, Luca
author_facet Cheng, Hanyu
Di Valentino, Eleonora
Escamilla, Luis A.
Sen, Anjan A.
Visinelli, Luca
contents We explore an extension of the $Λ$CDM model in which the pressure $p$ of the dark energy (DE) fluid evolves with the expansion of the Universe, expressed as a function of the scale factor $a$. The corresponding energy density $ρ$ is derived from the continuity equation, resulting in a dynamical equation-of-state parameter $w \equiv p/ρ$ during the late-time expansion of the Universe. The pressure is modeled using a Taylor expansion around the present epoch ($a = 1$), introducing deviations from a cosmological constant within the dynamical dark energy (DDE) framework. At first order, a single new parameter $Ω_1$ captures linear deviations, while a second-order parameter, $Ω_2$, accounts for quadratic evolution in the pressure. We constrain the first- and second-order DDE models using multiple observational datasets and compare their performance against $Λ$CDM and the CPL parameterization. A joint analysis of Planck CMB, DESI, and DESY5 data yields the strongest evidence for DDE, with a $2.7σ$ deviation in the first-order model and over $4σ$ in the second-order model, providing strong statistical support for a departure from a cosmological constant. The reconstructed DE evolution in the second-order case reveals a distinctive non-monotonic behavior in both energy density and $w_{\rm DE}(a)$, including clear phantom-crossing phenomena. Notably, the late-time evolution of $w_{\rm DE}(a)$ remains consistent across datasets and shows strong agreement with the CPL parameterization, underscoring the robustness of the pressure-based approach.
format Preprint
id arxiv_https___arxiv_org_abs_2505_02932
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Pressure Parametrization of Dark Energy: First and Second-Order Constraints with Latest Cosmological Data
Cheng, Hanyu
Di Valentino, Eleonora
Escamilla, Luis A.
Sen, Anjan A.
Visinelli, Luca
Cosmology and Nongalactic Astrophysics
We explore an extension of the $Λ$CDM model in which the pressure $p$ of the dark energy (DE) fluid evolves with the expansion of the Universe, expressed as a function of the scale factor $a$. The corresponding energy density $ρ$ is derived from the continuity equation, resulting in a dynamical equation-of-state parameter $w \equiv p/ρ$ during the late-time expansion of the Universe. The pressure is modeled using a Taylor expansion around the present epoch ($a = 1$), introducing deviations from a cosmological constant within the dynamical dark energy (DDE) framework. At first order, a single new parameter $Ω_1$ captures linear deviations, while a second-order parameter, $Ω_2$, accounts for quadratic evolution in the pressure. We constrain the first- and second-order DDE models using multiple observational datasets and compare their performance against $Λ$CDM and the CPL parameterization. A joint analysis of Planck CMB, DESI, and DESY5 data yields the strongest evidence for DDE, with a $2.7σ$ deviation in the first-order model and over $4σ$ in the second-order model, providing strong statistical support for a departure from a cosmological constant. The reconstructed DE evolution in the second-order case reveals a distinctive non-monotonic behavior in both energy density and $w_{\rm DE}(a)$, including clear phantom-crossing phenomena. Notably, the late-time evolution of $w_{\rm DE}(a)$ remains consistent across datasets and shows strong agreement with the CPL parameterization, underscoring the robustness of the pressure-based approach.
title Pressure Parametrization of Dark Energy: First and Second-Order Constraints with Latest Cosmological Data
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2505.02932