共动坐标系下引力坍缩的精确解
he Exact Solutions to the Gravitational Contraction in Comoving Coordinate System
星体的引力坍缩是一个被热烈讨论但让人困惑的问题。这个问题不仅涉及流体动力学，而且涉及选择坐标系的问题。在Oppenheimer & Snyder的经典论文中，利用共动坐标证明了奇性的存在性。 这篇通讯重新对Oppenheimer & Snyder的原问题进行了详细的分析和计算，并得到了如下结果：(I).对星体而言，共动坐标系仅与零压力的自由落体粒子相容，原来的奇性是由零压模型引起的。(II).对这种自由落体尘埃，有3种形式的解，即震荡的、临界的和开放的。Oppenheimer他们的结果只是临界解。(III).所有精确解都已求出，但发现了一类新的奇性。这种奇性到底是由零压模型还是共动坐标引起尚不清楚。
he gravitational collapse of a star is a warmly discussed but still puzzling problem, which not only involves the dynamics of the gases, but also the subtle coordinate transformation. In this letter, we give some more detailed investigation on this problem, and reach the results: (I). The comoving coordinate system for the stellar system is only compatible with the zero-pressure free falling particles. (II). For the free falling dust, there are three kind of solutions respectively corresponding to the oscillating, the critical and the open trajectories. The solution of Oppenheimer and Snyder is the critical case. (III). All solutions are exactly derived. There is a new kind singularity in the solution, but its origin is unclear.
辜英求
物理学天文学
引力坍缩共动坐标系精确解奇性
gravitational collapsecomving coordinate systemexact solutionsin-gularity
辜英求.共动坐标系下引力坍缩的精确解[EB/OL].(2009-04-01)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/200904-45.点此复制
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