Nariai解决方案的非通用性：II。Gowdy类中的调查
Non-genericity of the Nariai solutions: II. Investigations within the Gowdy class
摘要：
这是两篇论文中的第二篇，我们研究了广义Nariai解的渐近性及其与宇宙无毛猜想的关系。在第一篇文章中，作者提出根据宇宙无毛猜想，Nariai解在具有正宇宙学常数的真空中的Einstein场方程的通解中是非一般的。我们检查，这是真的类空间均匀的解决方案。在本文中，我们继续这些调查的空间非均匀Gowdy的情况下。一方面，我们的动机是了解宇宙无毛的基本问题，其动力学实现在更一般的类比空间均匀的情况下。另一方面，第一篇论文的结果表明，Nariai解决方案的不稳定性，可以利用构造和分析物理上有趣的宇宙黑洞解的Gowdy类，符合某些索赔的Bousso在球对称的情况下。然而，与此相反，我们发现通过对Nariai解的小Gowdy对称扰动不可能构造宇宙学黑洞解，并且动力学表现出某种新的临界行为.对于我们的调查，我们使用的数值技术的基础上，我们介绍了在以前的出版物的谱方法。
英文摘要：
This is the second of two papers where we study the asymptotics of the generalized Nariai solutions and its relation to the cosmic no-hair conjecture. In the first paper, the author suggested that according to the cosmic no-hair conjecture, the Nariai solutions are non-generic among general solutions of Einstein's field equations in vacuum with a positive cosmological constant. We checked that this is true within the class of spatially homogeneous solutions. In this paper now, we continue these investigations within the spatially inhomogeneous Gowdy case. On the one hand, we are motivated to understand the fundamental question of cosmic no-hair and its dynamical realization in more general classes than the spatially homogeneous case. On the other hand, the results of the first paper suggest that the instability of the Nariai solutions can be exploited to construct and analyze physically interesting cosmological black hole solutions in the Gowdy class, consistent with certain claims by Bousso in the spherically symmetric case. However, in contrast to that, we find that it is not possible to construct cosmological black hole solutions by means of small Gowdy symmetric perturbations of the Nariai solutions and that the dynamics shows a certain new critical behavior. For our investigations, we use the numerical techniques based on spectral methods which we introduced in a previous publication.
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