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arXiv 0812.1079astro-ph
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慢卷暴胀中宇宙学和暴胀参数的时间依赖性

Time dependence of cosmological and inflationary parameters in slow-roll inflation

Shiro Hirai, Tomoyuki Takami

摘要:

利用慢卷暴胀模型研究了最近60次暴胀过程中宇宙学参数和暴胀参数对时间的依赖关系。本文用数值方法计算了混沌暴胀时暴胀子场的时间依赖性,而不是常用的近似方法。发现哈勃参数和光谱指数在最近60个e折中呈下降趋势。的曲率扰动的功率谱的大小扰动k的依赖性的数值计算,它表明,因此确定的功率谱的整体恒定值不同于由熟悉的方法给出的。然而,数值计算的k-依赖谱,贝塞尔函数近似,和熟悉的泰勒展开都被发现是一致的。

英文摘要:

The dependence of cosmological and inflationary parameters on time during the last 60 e-folds in inflation is investigated using a slow-roll inflation model. The time dependence of the inflaton field is calculated for the case of chaotic inflation by a numerical method rather than the familiar approximations. It is found that the Hubble parameter and the spectral index decrease in the last 60 e-folds. The dependence of the power spectrum of the curvature perturbation on the size perturbation k is calculated numerically, and it is shown that the overall constant value of the power spectrum thus determined differs from that given by the familiar method. However, the k-dependent spectra of the numerical calculation, the Bessel function approximation, and the familiar Taylor expansion are all found to be consistent.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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