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引用次数: 0
摘要
在最近的一篇文章中,我们提出了大爆炸奇点初始数据的一般几何概念。这个概念本身就很有趣。不过,它也可以为许多文献中的结果提供一个统一的视角。在本文中,我们根据我们关于大爆炸奇点初始数据的一般几何概念,重新表述了关于边奇类 A 正交刚性流体解和 $\mathbb{T}^3$-Gowdy 对称真空环境中的解的结果,从而给出了这一表述的部分理由。
Initial data on big bang singularities in symmetric settings
In a recent article, we propose a general geometric notion of initial data on big bang singularities. This notion is of interest in its own right. However, it also serves the purpose of giving a unified perspective on many of the results in the literature. In the present article, we give a partial justification of this statement by rephrasing the results concerning Bianchi class A orthogonal stiff fluid solutions and solutions in the $\mathbb{T}^3$-Gowdy symmetric vacuum setting in terms of our general geometric notion of initial data on the big bang singularity.
期刊介绍:
Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.