$f(R)=\sqrt{R^{2}-R_{0}^2}$引力与Palatini形式宇宙学观测的一致性
Consistency of $f(R)=\sqrt{R^{2}-R_{0}^2}$ Gravity with the Cosmological Observations in Palatini Formalism
摘要：
本文利用Palatini形式研究了$f(R)=\sqrt{R^2-R_{0}^2}$修正引力中的宇宙动力学。我们使用最近的观测数据，如超新星Ia型（SNIa）黄金样品和超新星遗产调查（SNLS）的数据，从斯隆数字巡天（SDSS）的重子声峰的大小，从CMB观测的声峰的位置和大尺度结构形成（LSS）的2dFGRS调查的约束参数的模型。为了检验这种行为的一致性，我们将古老宇宙天体的年龄与宇宙的年龄进行比较。在对所有观测值的联合分析中，我们发现模型的参数为$R_0=6.192_{-0.177}^{+0.167}\times H_0^2$和$Ω_m=0.278_{-0.278}^{+0.273}$。
英文摘要：
In this work we study the dynamics of universe in $f(R)=\sqrt{R^2-R_{0}^2}$ modified gravity with Palatini formalism. We use data from recent observations as Supernova Type Ia (SNIa) Gold sample and Supernova Legacy Survey (SNLS) data, size of baryonic acoustic peak from Sloan Digital Sky Survey (SDSS), the position of the acoustic peak from the CMB observations and large scale structure formation (LSS) from the 2dFGRS survey to put constraint on the parameters of the model. To check the consistency of this action, we compare the age of old cosmological objects with the age of universe. In the combined analysis with the all the observations, we find the parameters of model as $R_0=6.192_{-0.177}^{+0.167}\times H_0^2$ and $Ω_m=0.278_{-0.278}^{+0.273}$.
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