论文标题

穿越幻影划分$ f(q)$重力

Crossing phantom divide in $f(Q)$ gravity

论文作者

Arora, Simran, Sahoo, P. K.

论文摘要

我们调查了在对称远程重力或$ f(q)$ gravity的扩展中越过幻影分隔线的可能性,其中$ q $是非金属度。我们研究了有效的状态参数方程的宇宙进化,以考虑指数,对数和$ f(q)$理论的宇宙参数。此外,指数模型的行为像$λ$ cdm在高红移时的行为,然后分别偏离$ω__{eff} <-1 $或$ω__{eff}> - 1 $,取决于模型参数的值。它还渐近地接近开发阶段。但是,幻影分隔线的穿越,即$ω= -1 $,在合并的$ f(q)$理论中实现。此外,研究了状态基诊断,以区分几种暗能模型。为了确保三个模型的稳定性,我们使用线性扰动采用稳定性分析。我们通过数值反演方法来演示如何基于现有的观察性限制对磁学参数的观察限制以及在结果模型中桥接幻影鸿沟的潜力。它明确表明,幻影分隔线的未来穿越是可行的$ f(q)$重力模型的通用特征。

We investigate the possibility of crossing a phantom divide line in the extension of symmetric teleparallel gravity or the $f(Q)$ gravity, where $Q$ is the non-metricity. We study the cosmic evolution of the effective equation of state parameter for dark energy considering exponential, logarithmic, and combined $f(Q)$ theories. Moreover, the exponential model behaves like the $Λ$CDM at high redshifts before deviating to $ω_{eff}<-1$ or $ω_{eff}>-1$, respectively, depending on the value of model parameter. It also approaches a de-sitter phase asymptotically. However, the crossing of the phantom divide line, i.e., $ω= -1$, is realized in the combined $f(Q)$ theory. Furthermore, statefinder diagnostics are studied in order to differentiate between several dark energy models. To ensure the three model's stability, we employ the stability analysis using linear perturbations. We demonstrate how to reassemble $f(Q)$ via a numerical inversion approach based on existing observational constraints on cosmographic parameters and the potential of bridging the phantom divide in the resulting model. It explicitly demonstrates that future crossings of the phantom dividing line are a generic feature of feasible $f(Q)$ gravity models.

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