尘埃坍缩中的裸奇点作为O.D.E.的一个存在性问题。在一个奇点上
Naked singularities in dust collapse as an existence problem for O.D.E. at a singular point
摘要：
利用奇点附近的径向零测地线的非线性微分方程的存在性问题，给出了边缘约束尘埃云的引力坍缩的最终状态。证明了严格的结果，涵盖了可能的初始数据的完整频谱。
英文摘要：
The final state of the gravitational collapse of a marginally bound dust cloud is formulated in terms of an existence problem for the non-linear differential equation governing radial null geodesics near the singular point. Rigorous results are proved, covering the complete spectrum of the possible initial data.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
