On the regularizability of the big bang singularity

被引：0
作者：
Edward Belbruno
机构：
[1] Princeton University,Department of Astrophysical Sciences
来源：
Celestial Mechanics and Dynamical Astronomy | 2013年 / 115卷
关键词：
Blow up; Collision set; Regularization; Singularity; Invariant manifold; Stable manifold theorem; Central force;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The singularity for the big bang state can be represented using the generalized anisotropic Friedmann equation, resulting in a system of differential equations in a central force field. We study the regularizability of this singularity as a function of a parameter, the equation of state, w. We prove that for w > 1 it is regularizable only for w satisfying relative prime number conditions, and for w ≤ 1 it can always be regularized. This is done by using a McGehee transformation, usually applied in the three and four-body problems. This transformation blows up the singularity into an invariant manifold. The relationship of this result to other cosmological models is briefly discussed.
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页码：21 / 34
页数：13
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