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arXiv 1901.07540gr-qcastro-ph.IM
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对数线性级数展开及其在原初宇宙学中的应用

Logolinear series expansions with applications to primordial cosmology

Will Handley, Anthony Lasenby, Mike Hobson

摘要:

我们发展了一种方法来计算级数展开的解决方案,常微分方程的渐近形式时,包含线性和对数项。这种情况在原始宇宙学中很常见,当考虑由宇宙暴胀前阶段产生的方程中的奇点的级数膨胀时。我们开发的数学技术,产生这些系列的扩展,并将其应用到多项式和Starobinsky膨胀潜力与动力学的初始条件。在GitHub上提供了对数线性级数的解析和数值计算代码。

英文摘要:

We develop a method for computing series expansions for solutions to ordinary differential equations when the asymptotic form contains both linear and logarithmic terms. Such situations are common in primordial cosmology when considering series expansions out of a singularity in the equations arising from a pre-inflationary phase of the universe. We develop mathematical techniques for generating these series expansions, and apply them to polynomial and Starobinsky inflationary potentials with kinetic initial conditions. Code for analytic and numerical computation of logolinear series is provided on GitHub.

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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