宇宙加速的逆$f(R)$引力和暗能量等价
An Inverse $f(R)$ Gravitation for Cosmic Speed up, and Dark Energy Equivalent
摘要：
为了解释最近的SNIa和CMB观测所揭示的宇宙加速，我们提出以下建议：a）在赋予FRW度规的时空中，我们选择一个最能解释观测结果的经验尺度因子。b）我们假设一个修正的引力，由一个未指定的场拉格朗日量$f(R)$产生。c）我们使用所采用的经验比例因子来回溯以获得$f(R)$，因此称为“逆$f(R)$”。d）接下来，我们考虑经典的GR和传统的FRW宇宙，除了已知的重子含量，还具有假设的“暗能量”成分。我们比较了这两种情况，并找到了密度，压力，和状态方程的暗能量需要弥补传统和修改后的GR模型之间的差异。
英文摘要：
To explain the cosmic speed up, brought to light by the recent SNIa and CMB observations, we propose the following: a) In a spacetime endowed with a FRW metric, we choose an empirical scale factor that best explains the observations. b) We assume a modified gravity, generated by an unspecified field lagrangian, $f(R)$. c) We use the adopted empirical scale factor to work back retroactively to obtain $f(R)$, hence the term `Inverse $f(R)$'. d) Next we consider the classic GR and a conventional FRW universe that, in addition to its known baryonic content, possesses a hypothetical `Dark Energy' component. We compare the two scenarios, and find the density, the pressure, and the equation of the state of the Dark Energy required to make up for the differences between the conventional and the modified GR models.
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