稳定$f(R)$模型的物理参数
Physical Parameters for Stable $f(R)$ Models
摘要：
Nojiri \& Odintsov \cite{noj1}和Hu \& Sawicki \cite{hu}研究了修正引力中的非线性函数，它们在没有宇宙学常数的情况下解释了宇宙加速度，满足局部引力稳定性条件，并通过了太阳系检验.本文在这些非线性函数的背景下，研究了FRW模型，一个最适合的和富有成果的物理宇宙的数学模型\cite{rob, hub, alph, pen}。给出了宇宙的哈勃参数、减速参数、加加速度参数、物质密度和有效状态方程参数等宇宙学意义与红移的关系。随后，宇宙的年龄在$f(R)$引力中被预测。所有这些都代表了宇宙现阶段的特征。
英文摘要：
Nojiri \& Odintsov \cite{noj1} and Hu \& Sawicki \cite{hu} have studied non-linear functions in modified gravity that explain the cosmic acceleration without cosmological constant, fulfil the conditions of local gravity \& stability and pass the solar system tests. In this paper, FRW model, a best fitted and fruitful mathematical model of the physical universe \cite{rob, hub, alph, pen} is studied in the context of these non-linear functions. The cosmological implications such as Hubble parameter, deceleration parameter, jerk parameter, matter density and the effective equation of state parameter of the universe are plotted with respect to redshift. Subsequently, the age of the universe is predicted in $f(R)$ gravity. All are found to represent the features of present phase of the universe.
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