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arXiv 1602.00809astro-ph.COgr-qchep-th
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标量张量宇宙学的Planck约束与引力常量的变化

Planck constraints on scalar-tensor cosmology and the variation of the gravitational constant

Junpei Ooba, Kiyotomo Ichiki, Takeshi Chiba, Naoshi Sugiyama

摘要:

通过对普朗克2015年实验结果中得到的宇宙微波背景(CMB)角功率谱数据的分析,给出了标量-张量引力理论的宇宙学约束.我们考虑调和吸引子模型,其中标量场在爱因斯坦坐标系中具有曲率调和势($β$),理论随时间向爱因斯坦引力弛豫。本文用马尔可夫链蒙特卡罗方法分析了普朗克的{ \it TT}、{\it EE}、{ \it TE}和透镜CMB数据,发现对于$0<β<0.4$,现今对爱因斯坦引力的偏离(${α_0}^2$)被约束为${α_0}^2<2.5\times10^{-4-4.5β^2}\ (95.45\% {\rm\ C.L.})$和${α_0}^2<6.3\times10^{-4-4.5β^2}\ (99.99\%\ {\rm C.L.})$。从复合到现在的有效引力常量的时间变化被约束为$G_{\rm rec}/G_0<1.0056\ (95.45\% {\rm\ C.L.})$和$G_{\rm rec}/G_0<1.0115\ (99.99 \%{\rm\ C.L.})$。我们还发现,扩展到非平坦宇宙模型的约束的影响不大,因为普朗克揭示的扩散阻尼效应打破了简并的投影效果。

英文摘要:

Cosmological constraints on the scalar-tensor theory of gravity by analyzing the angular power spectrum data of the cosmic microwave background (CMB) obtained from the Planck 2015 results are presented. We consider the harmonic attractor model, in which the scalar field has a harmonic potential with curvature ($β$) in the Einstein frame and the theory relaxes toward the Einstein gravity with time. Analyzing the {\it TT}, {\it EE}, {\it TE} and lensing CMB data from Planck by the Markov chain Monte Carlo method, we find that the present-day deviation from the Einstein gravity (${α_0}^2$) is constrained as ${α_0}^2<2.5\times10^{-4-4.5β^2}\ (95.45\% {\rm\ C.L.})$ and ${α_0}^2<6.3\times10^{-4-4.5β^2}\ (99.99\%\ {\rm C.L.})$ for $0<β<0.4$. The time variation of the effective gravitational constant between the recombination and the present epochs is constrained as $G_{\rm rec}/G_0<1.0056\ (95.45\% {\rm\ C.L.})$ and $G_{\rm rec}/G_0<1.0115\ (99.99 \%{\rm\ C.L.})$. We also find that the constraints are little affected by extending to nonflat cosmological models because the diffusion damping effect revealed by Planck breaks the degeneracy of the projection effect.

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