自引力各向异性致密物体的声速、破裂和稳定性
Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
摘要：
利用破裂的概念，我们探讨了密度涨落和局域各向异性对广义相对论中局域和非局域各向异性物质组态稳定性的影响。这个概念，被认为是描述的行为的流体分布后，刚刚离开平衡，提供了一种替代方法来考虑稳定的自引力紧凑的对象。我们表明，潜在的不稳定区域内的配置可以确定为沿切向和径向方向的声音传播的差异的函数。事实上，发现当在分布内的特定点处，切向声速大于径向声速时，这些区域可能出现。
英文摘要：
Using the the concept of cracking we explore the influence of density fluctuations and local anisotropy have on the stability of local and non-local anisotropic matter configurations in general relativity. This concept, conceived to describe the behaviour of a fluid distribution just after its departure from equilibrium, provides an alternative approach to consider the stability of selfgravitating compact objects. We show that potentially unstable regions within a configuration can be identify as a function of the difference of propagations of sound along tangential and radial directions. In fact, it is found that these regions could occur when, at particular point within the distribution, the tangential speed of sound is greater than radial one.
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