无膨胀演化球必须具有非均匀能量密度分布
Expansion-Free Evolving Spheres Must Have Inhomogeneous Energy Density Distributions
摘要：
最近的一篇论文系统地研究了无剪切膨胀球对称分布。作为这种系统的一个特殊情况，提到了Skripkin模型，它对应于具有恒定能量密度的非耗散理想流体。在这里，我们表明，这样的模型是不一致的交界处的条件。它表明，在一般情况下，任何非耗散流体分布，无膨胀条件要求的能量密度是不均匀的。作为一个例子，我们考虑的情况下，灰尘，它允许一个完整的集成。
英文摘要：
In a recent paper a systematic study on shearing expansion-free spherically symmetric distributions was presented. As a particular case of such systems, the Skripkin model was mentioned, which corresponds to a nondissipative perfect fluid with a constant energy density. Here we show that such a model is inconsistent with junction conditions. It is shown that in general for any nondissipative fluid distribution, the expansion-free condition requires the energy density to be inhomogeneous. As an example we consider the case of dust, which allows for a complete integration.
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