标题： 球对称引力坍缩中裸奇点的出现 显示英文标题

标题： On the Occurrence of Naked Singularity in Spherically Symmetric Gravitational Collapse

摘要： 推广Joshi和Dwivedi早先的结果（Commun. Math. Phys. 146, 333 (1992); Lett. Math. Phys. 27, 235 (1993)），我们在这里分析了球对称物质云的引力坍缩，以研究裸奇点的形成。结果表明，这主要与爱因斯坦场方程的初始数据选择有关，并且在这种一般情况下，从规则的初始数据出发，在满足弱能量条件的物质条件下，这种现象将在典型情况下发生。还刻画了导致黑洞形成的初始数据条件。 显示英文摘要

摘要： Generalizing earlier results of Joshi and Dwivedi (Commun. Math. Phys. 146, 333 (1992); Lett. Math. Phys. 27, 235 (1993)), we analyze here the spherically symmetric gravitational collapse of a matter cloud with a general form of matter for the formation of a naked singularity. It is shown that this is related basically to the choice of initial data to the Einstein field equations, and would therefore occur in generic situations from regular initial data within the general context considered here, subject to the matter satisfying the weak energy condition. The condition on initial data which leads to the formation of black hole is also characterized.