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arXiv 1104.2740astro-ph.COgr-qc
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下一代宇宙剪切实验中可行f(R)模型的层析成像

Tomography from the Next Generation of Cosmic Shear Experiments for Viable f(R) Models

Stefano Camera, Antonaldo Diaferio, Vincenzo F. Cardone

摘要:

我们在修正作用量f(R)理论的框架下给出了两个可行的宇宙学模型所预言的宇宙剪切信号。我们使用f(R)模型,其中宇宙当前的加速膨胀是修正的引力拉格朗日量而不是暗能量(DE)的直接结果,无论是真空能量/宇宙学常数的形式,还是动态标量场(例如quintessence)的形式。我们选择Starobinsky(St)和Hu & Sawicki(HS)f(R)模型,它们经过精心设计,可以通过太阳系重力测试。为了进一步支持--或者排除-- f(R)理论作为DE假说的替代候选者,我们利用了弱引力透镜的力量,特别是宇宙剪切。我们计算断层剪切矩阵,因为它将由即将到来的欧空局宇宙视觉欧几里得卫星测量。我们发现在St模型中宇宙剪切信号几乎完全退化为LCDM,而在HS模型中很容易区分。此外,我们计算相应的Fisher矩阵的St和HS模型,从而获得其宇宙学参数的预测。最后,我们表明,宇宙剪切的贝叶斯因子将肯定有利于HS模型LCDM,如果欧几里得测量值大于~0.02的额外HS参数n_HS。

英文摘要:

We present the cosmic shear signal predicted by two viable cosmological models in the framework of modified-action f(R) theories. We use f(R) models where the current accelerated expansion of the Universe is a direct consequence of the modified gravitational Lagrangian rather than Dark Energy (DE), either in the form of vacuum energy/cosmological constant or of a dynamical scalar field (e.g. quintessence). We choose Starobinsky's (St) and Hu & Sawicki's (HS) f(R) models, which are carefully designed to pass the Solar System gravity tests. In order to further support - or rule out - f(R) theories as alternative candidates to the DE hypothesis, we exploit the power of weak gravitational lensing, specifically of cosmic shear. We calculate the tomographic shear matrix as it would be measured by the upcoming ESA Cosmic Vision Euclid satellite. We find that in the St model the cosmic shear signal is almost completely degenerate with LCDM, but it is easily distinguishable in the HS model. Moreover, we compute the corresponding Fisher matrix for both the St and HS models, thus obtaining forecasts for their cosmological parameters. Finally, we show that the Bayes factor for cosmic shear will definitely favour the HS model over LCDM if Euclid measures a value larger than ~0.02 for the extra HS parameter n_HS.

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