CBR anisotropy from primordial gravitational waves in inflationary cosmologies.
CBR anisotropy from primordial gravitational waves in inflationary cosmologies.
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DOI：
10.1103/physrevd.50.3713
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发表时间：
1994-04
期刊：
影响因子：
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通讯作者：
Bruce Allen;S. Koranda
中科院分区：
文献类型：
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作者：
Bruce Allen;S. Koranda
我们研究了早期宇宙中引力波扰动引起的宇宙背景辐射（CBR）的随机温度涨落。这些温度波动由角相关函数$C（\gamma）$描述。一个新的（更简洁和一般）的推导$C（\gamma）$，并评估暴胀宇宙宇宙学。这产生了大于几度的角度$\gamma$的标准结果，但是对于更小的角度产生了新的结果，因为我们没有对引力波模函数进行标准的长波长近似。函数$C（\gamma）$可以展开为一系列勒让德多项式;我们使用数值方法将得到的展开式的系数与标准（近似）结果进行比较。我们还报告了一些进展，寻找一个封闭形式的表达式为$C（\gamma）$。
We examine stochastic temperature fluctuations of the cosmic background radiation (CBR) arising via the Sachs-Wolfe effect from gravitational wave perturbations produced in the early universe. These temperature fluctuations are described by an angular correlation function $C(\gamma)$. A new (more concise and general) derivation of $C(\gamma)$ is given, and evaluated for inflationary-universe cosmologies. This yields standard results for angles $\gamma$ greater than a few degrees, but new results for smaller angles, because we do not make standard long-wavelength approximations to the gravitational wave mode functions. The function $C(\gamma)$ may be expanded in a series of Legendre polynomials; we use numerical methods to compare the coefficients of the resulting expansion in our exact calculation with standard (approximate) results. We also report some progress towards finding a closed form expression for $C(\gamma)$.