论文标题
通过观测值重建可行的F（G）重力模型
The viable f(G) gravity models via reconstruction from the observations
论文作者
论文摘要
我们从观测值中重建了可行的F（G）重力模型，并提供了很好地描述我们数值结果的分析解决方案。为了避免数值重建过程中发生的非物理挑战，我们将F（g）模型推广到F（GA）中，这是F（G）模型的简单扩展，并引入常数A参数。我们采用了几个观察数据以及稳定性条件，该数据读取d2f/dg2> 0，并且必须在宇宙的晚期演变中得到满足，以提供适当的初始条件来求解扰动方程。结果，我们获得了与数值解决方案相匹配的分析函数。此外，如果可以找到这些分析解决方案的物理起源及其宇宙学的含义，可能会很有趣。
We reconstruct the viable f(G) gravity models from the observations and provide the analytic solutions that well describe our numerical results. In order to avoid unphysical challenges that occur during the numerical reconstruction, we generalize f(G) models into f(GA), which is the simple extension of f(G) models with the introduction of a constant A parameter. We employ several observational data together with the stability condition, which reads d2f/dG2 > 0 and must be satisfied in the late-time evolution of the universe, to give proper initial conditions for solving the perturbation equation. As a result, we obtain the analytic functions that match the numerical solutions. Furthermore, it might be interesting if one can find the physical origin of those analytic solutions and its cosmological implications.
