论文标题
$ f（q）$重力和宇宙学含义的设计师方法
A designer approach to $f(Q)$ gravity and cosmological implications
论文作者
论文摘要
我们研究了在对称远程引力中线性扰动的演变，即$ f（q）$ gravity，为此我们设计$ f（q）$函数以匹配特定的扩展历史。我们考虑了有效的状态黑能方程的不同演变，$ w_q（a）$，其中包括$ w_q = -1 $，常数$ w_q \ neq -1 $和一个快速变化的状态方程。我们在有效的重力耦合中确定了清晰的模式，因此，这会修改大规模结构的线性生长。我们为增长率$ \ tilde {f} $和物质波动的根平方$σ_8$的产物提供了理论预测，即$ \ tilde {f}σ_8$以及银河系波动和宇宙相互频谱的交叉相互关系的标志。这些特性可用于使用准确的宇宙学观测值将$ f（q）$重力与标准宇宙学模型区分开。
We investigate the evolution of linear perturbations in the Symmetric Teleparallel Gravity, namely $f(Q)$ gravity, for which we design the $f(Q)$ function to match specific expansion histories. We consider different evolutions of the effective dark energy equation of state, $w_Q(a)$, which includes $w_Q=-1$, a constant $w_Q \neq -1$ and a fast varying equation of state. We identify clear patterns in the effective gravitational coupling, which accordingly modifies the linear growth of large scale structures. We provide theoretical predictions for the product of the growth rate $\tilde{f}$ and the root mean square of matter fluctuations $σ_8$, namely $\tilde{f}σ_8$ and for the sign of the cross-correlation power spectrum of the galaxy fluctuations and the cosmic microwave background radiation anisotropies. These properties can be used to distinguish the $f(Q)$ gravity from the standard cosmological model using accurate cosmological observations.
