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Main Authors: Mohammadi, Sahar, Yusofi, Ebrahim, Asadi, Kosar
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.18240
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author Mohammadi, Sahar
Yusofi, Ebrahim
Asadi, Kosar
author_facet Mohammadi, Sahar
Yusofi, Ebrahim
Asadi, Kosar
contents We present a comprehensive phase-space analysis of a quadratic dark energy model where the pressure includes a nonlinear term proportional to the square of the energy density. This minimal extension beyond the $Λ$CDM framework introduces a dynamical parameter $η(z)$ that governs transitions between different cosmological regimes. Through dynamical systems theory, we identify critical points and their stability properties, revealing that negative $η$ values drive the system toward stable phantom attractors (sinks), while positive values correspond to unstable repellers (sources). The model exhibits a distinctive asymptotic approach to the phantom divide ($w_{\rm eff}=-1$) from both quintessence and phantom sides without actual crossing, providing a non-crossing alternative to the phantom-crossing behavior preferred by recent DESI DR2 constraints. Our analysis shows that stable phantom attractors produce enhanced Hubble expansion rates and more pronounced late-time acceleration, features that can be compared with recent DESI observations suggesting evolving dark energy.
format Preprint
id arxiv_https___arxiv_org_abs_2605_18240
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quadratic Dark Energy Phase-Space Dynamics and Analysis
Mohammadi, Sahar
Yusofi, Ebrahim
Asadi, Kosar
Cosmology and Nongalactic Astrophysics
We present a comprehensive phase-space analysis of a quadratic dark energy model where the pressure includes a nonlinear term proportional to the square of the energy density. This minimal extension beyond the $Λ$CDM framework introduces a dynamical parameter $η(z)$ that governs transitions between different cosmological regimes. Through dynamical systems theory, we identify critical points and their stability properties, revealing that negative $η$ values drive the system toward stable phantom attractors (sinks), while positive values correspond to unstable repellers (sources). The model exhibits a distinctive asymptotic approach to the phantom divide ($w_{\rm eff}=-1$) from both quintessence and phantom sides without actual crossing, providing a non-crossing alternative to the phantom-crossing behavior preferred by recent DESI DR2 constraints. Our analysis shows that stable phantom attractors produce enhanced Hubble expansion rates and more pronounced late-time acceleration, features that can be compared with recent DESI observations suggesting evolving dark energy.
title Quadratic Dark Energy Phase-Space Dynamics and Analysis
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2605.18240