Phase-space analysis of an anisotropic universe in $f(Q,C)$ gravity

Fuente: arXiv
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Main Authors: Murtaza, Ghulam, De, Avik, Loo, Tee-How, Goh, Yong Kheng, Liew, How Hui
Format: Preprint
Published: 2025
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author Murtaza, Ghulam
De, Avik
Loo, Tee-How
Goh, Yong Kheng
Liew, How Hui
author_facet Murtaza, Ghulam
De, Avik
Loo, Tee-How
Goh, Yong Kheng
Liew, How Hui
contents In this study, we analyze the anisotropic universe in $f(Q,C)$ gravity theory. To achieve this, we consider three specific models of $f(Q,C)$ gravity and rewrite the equations of motion of each model as an autonomous system. We identify and analyze the critical points, examine their stability, and plot phase portraits to illustrate the behavior of each critical point. The evolution of key parameters, including the equation of state (EoS) parameter $w_{eff}$, the deceleration parameter $q$, and the standard density parameters $Ω_{m}$ and $Ω_{DE}$, is thoroughly investigated. The anisotropic dynamical variable exhibits decelerated behavior, consistent with the early universe, while the others demonstrate accelerated behavior, aligned with late-time observations across all models.
format Preprint
id arxiv_https___arxiv_org_abs_2505_08274
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Phase-space analysis of an anisotropic universe in $f(Q,C)$ gravity
Murtaza, Ghulam
De, Avik
Loo, Tee-How
Goh, Yong Kheng
Liew, How Hui
General Relativity and Quantum Cosmology
In this study, we analyze the anisotropic universe in $f(Q,C)$ gravity theory. To achieve this, we consider three specific models of $f(Q,C)$ gravity and rewrite the equations of motion of each model as an autonomous system. We identify and analyze the critical points, examine their stability, and plot phase portraits to illustrate the behavior of each critical point. The evolution of key parameters, including the equation of state (EoS) parameter $w_{eff}$, the deceleration parameter $q$, and the standard density parameters $Ω_{m}$ and $Ω_{DE}$, is thoroughly investigated. The anisotropic dynamical variable exhibits decelerated behavior, consistent with the early universe, while the others demonstrate accelerated behavior, aligned with late-time observations across all models.
title Phase-space analysis of an anisotropic universe in $f(Q,C)$ gravity
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2505.08274