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25 April 2024
 
  » arxiv » 1002.3867

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Statefinder diagnosis for the Palatini $f(R)$ gravity theories
Song Li ; Hao-Ran Yu ; Tong-Jie Zhang ;
Date 20 Feb 2010
AbstractThe 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) $f(R)=R+alpha R^{m}-eta R^{-n}$ and (ii) $f(R)=R+alpha ln R+eta$. 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.
Source arXiv, 1002.3867
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