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arXiv 0712.2268gr-qcastro-phhep-phhep-th
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太阳系和等效原理对f(R)引力的变色龙约束

Solar system and equivalence principle constraints on f(R) gravity by chameleon approach

Salvatore Capozziello, Shinji Tsujikawa

摘要:

我们从太阳系实验结合违反等效原理的实验研究了f(R)暗能量模型的约束条件。当等效标量场自由度的质量在具有高密度的区域中较重时,球对称体具有薄壳,使得通过变色龙机制抑制第五力的有效耦合。本文对最近文献中提出的在R >> R_c中具有渐近形式f(R)=R-lambda R_c [1-(R_c/R)^{2n}]的宇宙学可行模型给出了实验界.从太阳系对后牛顿参数γ的约束,我们得到了n>0.5的界限,而从违反弱等价原理和强等价原理得到的约束给出了n>0.9的界限。这使得找到偏离LambdaCDM宇宙学模型的可能性。对于模型f(R)=R-lambda R_c(R/R_c)^p(0<p<1),最大的约束是p<10^{-10},这表明该模型与LambdaCDM宇宙学很难区分.

英文摘要:

We study constraints on f(R) dark energy models from solar system experiments combined with experiments on the violation of equivalence principle. When the mass of an equivalent scalar field degree of freedom is heavy in a region with high density, a spherically symmetric body has a thin-shell so that an effective coupling of the fifth force is suppressed through a chameleon mechanism. We place experimental bounds on the cosmologically viable models recently proposed in literature which have an asymptotic form f(R)=R-lambda R_c [1-(R_c/R)^{2n}] in the regime R >> R_c. From the solar-system constraints on the post-Newtonian parameter gamma, we derive the bound n>0.5, whereas the constraints from the violations of weak and strong equivalence principles give the bound n>0.9. This allows a possibility to find the deviation from the LambdaCDM cosmological model. For the model f(R)=R-lambda R_c(R/R_c)^p with 0<p<1 the severest constraint is found to be p<10^{-10}, which shows that this model is hardly distinguishable from the LambdaCDM cosmology.

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