The state space and physical interpretation of self-similar spherically symmetric perfect-fluid models
The state space and physical interpretation of self-similar spherically symmetric perfect-fluid models
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自相似球对称完美流体模型的状态空间和物理解释
DOI：
10.1088/0264-9381/18/2/309
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
C. Uggla
中科院分区：
文献类型：
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作者：
Bernard Carr;Alan Coley;M. Goliath;U. Nilsson;C. Uggla
本文的目的是进一步研究自相似球对称完全流体模型的解空间，并加深对这些解的物理方面的理解。我们通过将类比方法的状态空间描述与共生方法中产生的物理上感兴趣的量的使用相结合来实现这一点。我们主要关注三种类型的模型。首先，我们考虑的模型是Friedmann宇宙的自然非齐次推广；这样的模型在过去是渐近的Friedmann，并在以后的时间演化能量密度的涨落。其次，我们考虑了所谓的准静态模型。这一类包括经历自相似引力塌缩的模型，对于研究裸奇点的形成很重要。如果赤裸裸的奇点真的形成了，它们将对广义相对论作为一种理论的可预测性产生深远的影响。第三，我们考虑了一类新的渐近Minkowski自相似时空，强调它们中的一些与最近引力坍缩计算中观察到的临界行为有关的自相似解。
The purpose of this paper is to further investigate the solution space of self-similar spherically symmetric perfect-fluid models and gain a deeper understanding of the physical aspects of these solutions. We achieve this by combining the state space description of the homothetic approach with the use of the physically interesting quantities arising in the comoving approach. We focus on three types of models. First, we consider models that are natural inhomogeneous generalizations of the Friedmann universe; such models are asymptotically Friedmann in their past and evolve fluctuations in the energy density at later times. Secondly, we consider so-called quasi-static models. This class includes models that undergo self-similar gravitational collapse and is important for studying the formation of naked singularities. If naked singularities do form, they have profound implications for the predictability of general relativity as a theory. Thirdly, we consider a new class of asymptotically Minkowski self-similar spacetimes, emphasizing that some of them are associated with the self-similar solutions associated with the critical behaviour observed in recent gravitational collapse calculations.