共动坐标系下引力坍缩的精确解The Exact Solutions to the Gravitational Contraction in Comoving Coordinate System

这种奇性到底是由零压模型还是共动坐标引起尚不清楚

共动坐标系仅与零压力的自由落体粒子相容

Oppenheimer他们的结果只是临界解

而且涉及选择坐标系的问题

共动坐标系

精确解

） Abstract： 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

Keywords： gravitational collapse;comving coordinate system;exact solution;sin-gularity 下载PDF阅读器 PDF全文下载： 初稿 （ 210 ） 作者简介： 通信联系人： 【收录情况】 中国科技论文在线： 辜英求

 共动坐标系下引力坍缩的精确解[EB/OL]

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在Oppenheimer & Snyder的经典论文中