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arXiv 1302.0740astro-ph.COgr-qchep-th
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协调模型中亮度-红移关系的平均和色散

Average and dispersion of the luminosity-redshift relation in the concordance model

I. Ben-Dayan, M. Gasperini, G. Marozzi, F. Nugier, G. Veneziano

摘要:

从最近给出的二阶泊松规范中的亮度红移关系出发,我们计算了所谓的和谐模型的扰动的现实随机背景对组合光锥和各种光度距离函数的系综平均值及其方差的影响,作为红移的函数。我们应用规范不变的光锥平均处方,这是免费的红外和紫外发散,使我们的结果相对于相应的截止值的变化是强大的。我们的主要结论,部分已经在最近的一封信中预期的情况下,在线性制度计算的扰动谱,是这样的不均匀性不仅不能避免需要暗能量,但也不能阻止,在原则上,确定其参数的顺序$10^{-3}-10^{-5}$的准确性,这取决于平均观察和考虑的功率谱的制度。然而,考虑到在非线性制度中产生的适当的校正,我们预测接近10%水平的数据的不可约的分散,对于有限的统计,这将必然限制可达到的精度。预测的色散似乎是在良好的协议与目前的观测估计的距离模方差由于多普勒和透镜效应(分别在低和高红移),并代表了未来的精确测量的挑战。

英文摘要:

Starting from the luminosity-redshift relation recently given up to second order in the Poisson gauge, we calculate the effects of the realistic stochastic background of perturbations of the so-called concordance model on the combined light-cone and ensemble average of various functions of the luminosity distance, and on their variance, as functions of redshift. We apply a gauge-invariant light-cone averaging prescription which is free from infrared and ultraviolet divergences, making our results robust with respect to changes of the corresponding cutoffs. Our main conclusions, in part already anticipated in a recent letter for the case of a perturbation spectrum computed in the linear regime, are that such inhomogeneities not only cannot avoid the need for dark energy, but also cannot prevent, in principle, the determination of its parameters down to an accuracy of order $10^{-3}-10^{-5}$, depending on the averaged observable and on the regime considered for the power spectrum. However, taking into account the appropriate corrections arising in the non-linear regime, we predict an irreducible scatter of the data approaching the 10% level which, for limited statistics, will necessarily limit the attainable precision. The predicted dispersion appears to be in good agreement with current observational estimates of the distance-modulus variance due to Doppler and lensing effects (at low and high redshifts, respectively), and represents a challenge for future precision measurements.

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