arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.08884gr-qcastro-ph.COhep-th
收藏

$f(R)$重力$k$ -晚期现象学的本质

$f(R)$ Gravity $k$-Essence Late-time Phenomenology

S. D. Odintsov, V. K. Oikonomou, F. P. Fronimos

摘要:

在这项工作中,我们将研究$k$ -本质$f(R)$重力没有标量势,在物质和辐射完美流体的存在下的后期行为。我们量化的后期研究,通过使用状态发现函数$Y_H(z)=\frac{ρ_{DE}}{ρ_m^{(0)}}$,这是一个函数的红移和哈勃率。通过适当地重写弗里德曼方程的红移和功能$Y_H(z)$,我们数值求解它使用适当的初始条件,我们严格检查的$k$本质高阶动力学项的影响。正如我们所证明的,高阶标量场动力学项对后期动力学的影响是激进的,因为暗能量振荡不存在,此外,宇宙学物理量与最新的普朗克数据兼容,并且该模型与$Λ$冷暗物质模型几乎没有区别。这与标准的$f(R)$重力情况相反,其中存在振荡。此外,通过选择模型的两个自由参数的不同值,特别是高阶动力学项的系数和$f(R)$作用量中出现的$R^δ$指数的不同值,我们证明了获得红移的$ρ_{DE}<0$是可能的,$z\sim 2-3.8$,这在唯象上符合,并且似乎解释了相同红移的观测数据,并且至少在考虑暗能量状态方程参数和暗能量密度参数的情况下,在$z\sim 0$获得可行的宇宙学演化。

英文摘要:

In this work we shall study the late-time behavior of $k$-Essence $f(R)$ gravity without scalar potential, in the presence of matter and radiation perfect fluids. We quantify the late-time study by using the statefinder function $Y_H(z)=\frac{ρ_{DE}}{ρ_m^{(0)}}$, which is a function of the redshift and of the Hubble rate. By appropriately rewriting the Friedmann equation in terms of the redshift and of the function $Y_H(z)$, we numerically solve it using appropriate initial conditions, and we critically examine the effects of the $k$-Essence higher order kinetic terms. As we demonstrate, the effect of the higher order scalar field kinetic terms on the late-time dynamics is radical, since the dark energy oscillations are absent, and in addition, the cosmological physical quantities are compatible with the latest Planck data and also the model is almost indistinguishable from the $Λ$ Cold Dark Matter model. This is in contrast to the standard $f(R)$ gravity case, where the oscillations are present. Furthermore, by choosing a different set of values of two of the free parameters of the model, and specifically the coefficient of the higher order kinetic term and of the exponent of $R^δ$ appearing in the $f(R)$ action, we demonstrate that it is possible to obtain $ρ_{DE}<0$ for redshifts $z\sim 2-3.8$, which complies phenomenologically with, and seems to explain, the observational data for the same redshifts, and also to obtain a viable cosmological evolution at $z\sim 0$, at least when the dark energy equation of state parameter and the dark energy density parameters are considered.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑