一般修正重力测量的晚期和大爆炸核合成约束
Late-time and Big Bang nucleosynthesis constraints for generic modify gravity surveys
摘要：
在这项工作中，一个新的通用参数化$f(R)$理论。我们提出的一个新的状态方程可以再现一个类似于$f(R)$的演化，当我们使用基于宇宙计时器，超新星Ia，重子声学振荡和最后，宇宙微波背景和莱曼- $α$森林的距离阶梯测量的组合时，在1- $σ$ C.L内描述晚期和早期宇宙。事实上，一个家庭的$f(R)$宇宙学可行的情况下进行了广泛的分析，根据后期的测量，一个EOS达到的精度比$99.2\%$的数值解的场方程的这个理论。此外，在这个建议中，我们扩展了研究，以找到约束在很早的时候，可以满足大爆炸核合成数据的氦分数，$Y_{p}$。为了进行这种分析，并与我们的通用$w_{f(R)}$ -这似乎是在同一水平上的其他参数化到管道和分析的观测调查-我们认为背景和线性扰动的演变和约束超出标准的$Λ$ CDM六个宇宙学参数。虽然有很强的约束，在背景上的自由参数，我们的$w_{f(R)}$，我们发现，$f(R)$背景可行的模型可以设置早期的约束，目前的哈勃常数$H_0$，这是在协议与CMB的数据，但当后期的时间模型无关的测量被认为是，$H_0$是完全兼容的$R^{H18}$值。最后，作为这些结果的扩展，我们的建议是能够区分$f(R)$方案在两条路线的距离阶梯显示一个很好的方法来修改重力在这个级别。
英文摘要：
In this work, a new generic parameterisation for $f(R)$ theories is presented. Our proposal for a new equation of state can reproduce an $f(R)$-like evolution that describes late and early time universe within 1-$σ$ C.L when we use a combination of distance ladder measurements based on Cosmic Chronometers, Supernovae Ia, Baryon Acoustic Oscillation and finally, Cosmic Microwave Background and Lyman-$α$ forest. Indeed, a family of $f(R)$ cosmological viable scenarios were extensively analysed in the light of late-time measurements, were an Eos reaches a precision better than $99.2\%$ over the numerical solutions for the field equations of this theory. Moreover, in this proposal we extended the study to find constraints at the very early time that can satisfy the Big Bang Nucleosynthesis data on helium fraction, $Y_{p}$. To perform this analysis, and with our generic $w_{f(R)}$ --which can be seemed it at the same level as other parameterisations into the pipeline and analysis of observational surveys-- we consider both background and linear perturbations evolution and constrain beyond the standard $Λ$CDM six cosmological parameters. While there are strong constraints at background on the free parameters of our $w_{f(R)}$, we found that $f(R)$ background viable models can set early constraints to the current Hubble constant $H_0$, which is in agreement with CMB data, but when late-time model-independent measurements are considered, $H_0$ is fully compatible with the $R^{H18}$ value. Finally, as an extension of these results, our proposal is capable to distinguish between $f(R)$ scenarios at both routes of the distance ladder showing a good approach to modify gravity at this level.
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