论文标题

$ f(q)$非限制重力的型号无关重建

Model-independent reconstruction of $f(Q)$ non-metric gravity

论文作者

Capozziello, Salvatore, D'Agostino, Rocco

论文摘要

我们认为重力是由非金属介导的,曲率和扭转消失。鉴于表征暗能量效应,研究了重力作用,包括非金属标量的任意功能。特别是,我们提出了一种重建$ f(q)$动作的方法,而无需诉诸\ emph {a先验}假设。为此,我们采用了一种基于理性帕德近似值的方法,该方法在高红移时提供了cosmographic系列的稳定行为,从而减轻了标准方法的融合问题。因此,我们根据当前的观察界数在数值反转过程中描述了如何通过数值反转过程重建$ f(q)$。我们的分析表明,描述宇宙加速膨胀的最佳近似是由$ f(q)=α+βq^{n} $的方案表示。最后,讨论了与标准$λ$ CDM模型的可能偏差。

We consider gravity mediated by non-metricity, with vanishing curvature and torsion. The gravitational action, including an arbitrary function of the non-metric scalar, is investigated in view of characterizing the dark energy effects. In particular, we present a method to reconstruct the $f(Q)$ action without resorting to \emph{a priori} assumptions on the cosmological model. To this purpose, we adopt a method based on rational Padé approximations, which provides a stable behaviour of the cosmographic series at high redshifts, alleviating the convergence issues proper of the standard approach. We thus describe how to reconstruct $f(Q)$ through a numerical inversion procedure based on the current observational bounds on cosmographic parameters. Our analysis suggests that the best approximation for describing the accelerated expansion of the universe is represented by a scenario with $f(Q)=α+βQ^{n}$. Finally, possible deviations from the standard $Λ$CDM model are discussed.

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