标题： 曲率条件对于一类时空奇点的发生 显示英文标题

标题： Curvature conditions for the occurrence of a class of spacetime singularities

摘要： 之前已经证明 [W. Rudnicki, Phys. Lett. A 224, 45 (1996)]，一般的引力坍缩不能导致伴随闭合类时曲线的裸奇点。在这个结果中，所谓的不可延拓条件起着重要作用，该条件要求某些不完备的类光测地线满足。在本文中，证明了一个定理，建立了不可延拓条件与不完备类光测地线上里奇曲率增长速率之间的某些关系。该定理表明，不可延拓条件可能适用于比强曲率类型奇点更广泛的奇点类别。还指出，一些针对强曲率奇点获得的宇宙审查结果可以扩展到对应于不可延拓条件的奇点。 显示英文摘要

摘要： It has previously been shown [W. Rudnicki, Phys. Lett. A 224, 45 (1996)] that a generic gravitational collapse cannot result in a naked singularity accompanied by closed timelike curves. An important role in this result plays the so-called inextendibility condition, which is required to hold for certain incomplete null geodesics. In this paper, a theorem is proved that establishes some relations between the inextendibility condition and the rate of growth of the Ricci curvature along incomplete null geodesics. This theorem shows that the inextendibility condition may hold for a much more general class of singularities than only those of the strong curvature type. It is also argued that some earlier cosmic censorship results obtained for strong curvature singularities can be extended to singularities corresponding to the inextendibility condition.