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arXiv 0904.4295gr-qc
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用相积分方法计算混沌暴胀方案中的暴胀宇宙学扰动

Computation of inflationary cosmological perturbations in chaotic inflationary scenarios using the phase-integral method

Clara Rojas, Victor M. Villalba

摘要:

Fröman和Fröman设计的相位积分近似被用来计算二次混沌暴胀模型中的宇宙学扰动。标量和张量功率谱的相位积分公式显式地获得了五阶的相位积分近似。我们表明,相位积分给出了一个很好的近似的形状与标量和张量扰动以及谱指数的功率谱。我们发现,相积分近似的准确性与数值结果以及使用慢滚和均匀近似方法获得的结果相比毫不逊色。

英文摘要:

The phase-integral approximation devised by Fröman and Fröman, is used for computing cosmological perturbations in the quadratic chaotic inflationary model. The phase-integral formulas for the scalar and tensor power spectra are explicitly obtained up to fifth order of the phase-integral approximation. We show that, the phase integral gives a very good approximation for the shape of the power spectra associated with scalar and tensor perturbations as well as the spectral indices. We find that the accuracy of the phase-integral approximation compares favorably with the numerical results and those obtained using the slow-roll and uniform approximation methods.

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