随动坐标系中引力收缩的精确解
The Exact Solutions to the Gravitational Contraction in Comoving Coordinate System
摘要：
恒星的引力坍缩是一个被广泛讨论但仍令人困惑的问题，它不仅涉及到气体的动力学，而且涉及到微妙的坐标变换。在这封信中，我们对这个问题进行了更详细的调查，并得出了以下结果：（一）。恒星系统的共动坐标系只适用于零压自由落体粒子。（二）.对于自由下落的尘埃，有三种解，分别对应于振荡、临界和开放轨迹。奥本海默和斯奈德的解决方案是关键的情况。（三）。所有的解决方案都是精确推导出来的。在解中存在一种新的奇异性，但它的起源尚不清楚。
英文摘要：
The 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.
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