arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1703.01271astro-ph.COgr-qc
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线性和非线性修正重力预测与未来调查

Linear and non-linear Modified Gravity forecasts with future surveys

Santiago Casas, Martin Kunz, Matteo Martinelli, Valeria Pettorino

摘要:

修正的引力理论通常以可观察的方式影响泊松方程和引力滑移(有效各向异性应力),其可以由时间和空间的两个通用函数($η$和$μ$)参数化。我们bin的时间依赖性,这些功能的红移和目前的预测,每个bin为未来的调查,如欧几里得。我们认为这两个星系集群和弱透镜调查,显示的非线性政权的影响,两个不同的半解析近似处理。除了这些未来的观测值,我们使用的协方差矩阵来自普朗克观测的宇宙微波背景。我们的研究结果表明,$η$和$μ$在不同的红移箱显着相关,但包括非线性尺度减少甚至消除的相关性,打破了简并之间的修正重力参数和物质功率谱的整体幅度。我们进一步去相关参数与零相位分量分析,并确定哪些组合的修改重力参数振幅,在不同的红移箱,最好的约束,由未来的调查。我们还将分析扩展到$μ$和$η$的时间演化的两个特定参数化,并考虑,除了Euclid之外,还考虑SKA 1,SKA 2,DESI:在这种情况下,我们发现未来的调查将能够在仅使用线性尺度时在$2-5\%$水平上约束$η$和$μ$的当前值(波矢量k < 0.15 h/Mpc),取决于具体的时间参数化;当包括非线性时,灵敏度提高到约$1\%$。

英文摘要:

Modified Gravity theories generally affect the Poisson equation and the gravitational slip (effective anisotropic stress) in an observable way, that can be parameterized by two generic functions ($η$ and $μ$) of time and space. We bin the time dependence of these functions in redshift and present forecasts on each bin for future surveys like Euclid. We consider both Galaxy Clustering and Weak Lensing surveys, showing the impact of the non-linear regime, treated with two different semi-analytical approximations. In addition to these future observables, we use a prior covariance matrix derived from the Planck observations of the Cosmic Microwave Background. Our results show that $η$ and $μ$ in different redshift bins are significantly correlated, but including non-linear scales reduces or even eliminates the correlation, breaking the degeneracy between Modified Gravity parameters and the overall amplitude of the matter power spectrum. We further decorrelate parameters with a Zero-phase Component Analysis and identify which combinations of the Modified Gravity parameter amplitudes, in different redshift bins, are best constrained by future surveys. We also extend the analysis to two particular parameterizations of the time evolution of $μ$ and $η$ and consider, in addition to Euclid, also SKA1, SKA2, DESI: we find in this case that future surveys will be able to constrain the current values of $η$ and $μ$ at the $2-5\%$ level when using only linear scales (wavevector k < 0.15 h/Mpc), depending on the specific time parameterization; sensitivity improves to about $1\%$ when non-linearities are included.

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