Perturbations of a Cosmological Model and Angular Variations of the Microwave Background
Perturbations of a Cosmological Model and Angular Variations of the Microwave Background
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DOI：
10.1086/148982
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发表时间：
1967
期刊：
影响因子：
--
通讯作者：
R. Sachs;A. Wolfe
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文献类型：
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作者：
R. Sachs;A. Wolfe
我们考虑了广义相对论、空间均匀性和各向同性k= 0的宇宙模型，其中压力为零或压力为能量密度的三分之一。对远离这些模型的一般线性化扰动方程进行显式积分，得到密度波动、旋转扰动和引力波。对摄动模型中的光线方程进行了积分。这些模型被用来估计微波辐射的各向异性，假设这种辐射是宇宙性的。据估计，由于引力红移和其他广义相对论效应，现在的密度波动为10%阶，特征长度为1000 Mpc阶，将在观测到的微波温度中造成1%阶的各向异性。将p= 0模型与相应的牛顿模型进行了详细的比较。受扰动的牛顿模型不包含引力波，但密度扰动和旋转扰动惊人地相似。
We consider general-relativistic, spatially homogeneous, and isotropic k= 0 cosmological models with either pressure zero or pressure one-third the energy density. The equations for general linearized perturbations away from these models are explicitly integrated to obtain density fluctuations, rotational perturbations, and gravitational waves. The equations for light rays in the perturbed models are integrated. The models are used to estimate the anisotropy of the microwave radiation, assuming this radiation is cosmological. It is estimated that density fluctuations now of order 10 per cent with characteristic lengths now of order 1000 Mpc would cause anisotropies of order 1 per cent in the observed microwave temperature due to the gravitational redshift and other general-relativistic effects. The p= 0 models are compared in detail with corresponding Newtonian models. The perturbed Newtonian models do not contain gravitational waves, but the density perturbations and rotational perturbations are surprisingly similar.