Palatini $f(R)$引力理论的状态发现诊断
Statefinder diagnosis for the Palatini $f(R)$ gravity theories
摘要：
本文研究了Palatini $f(R)$引力理论，它可能在不需要暗能量的情况下解释宇宙晚期加速现象。本文利用状态发现诊断方法研究了Palatini形式的若干$f(R)$引力理论。我们考虑两种类型的$f(R)$理论：（i）$f(R)=R+αR^{m}-βR^{-n}$和（ii）$f(R)=R+αln R+β$。我们发现，不同类型的Palatini $f(R)$理论在$s-r$和$q-r$平面上的演化轨迹揭示了宇宙演化的不同性质.此外，我们使用观测的$H(z)$数据来约束$f(R)$重力模型。
英文摘要：
The Palatini $f(R)$ gravity, is able to probably explain the late time cosmic acceleration without the need for dark energy, is studied. In this paper, we investigate a number of $f(R)$ gravity theories in Palatini formalism by means of statefinder diagnosis. We consider two types of $f(R)$ theories: (i) $f(R)=R+αR^{m}-βR^{-n}$ and (ii) $f(R)=R+αln R+β$. We find that the evolutionary trajectories in the $s-r$ and $q-r$ planes for various types of the Palatini $f(R)$ theories reveal different evolutionary properties of the universe. Additionally, we use the observational $H(z)$ data to constrain models of $f(R)$ gravity.
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