1993年Choptuik发现由广义相对论初值空间演化为黑洞的临界解附近存在普遍的规律，例如黑洞质量满足幂次标度率。之后，引力塌缩过程的临界行为成为一个新的研究领域。 临界现象与裸奇点的形成及宇宙监督假设有密切关系。本项目计划从以下几个方面探讨引力塌缩的临界现象以及宇宙监督假设：（1）利用Lemaitre-Tolman-Bondi、Vaidya等解析解研究引力塌缩过程中形成黑洞的条件及相空间临界点附近的性质，计算临界指数、黑洞最小形成质量等。（2）利用薄球壳演化过程来研究不同物质、不同时空背景下形成黑洞的条件及临界行为，并在经典范围内检验宇宙监督假设。（3）研究粒子及薄球壳的量子行为，考察量子隧穿效应及时空反作用下宇宙监督假设是否成立。本项目将在我们已有关于黑洞研究的基础上，从经典和量子的层次研究引力塌缩过程和宇宙监督假设，旨在总结发现更为一般的现象和规律。

In 1993，Choptuik discovered some general properties when a black hole begins to form from some critical initial data in general relativity, for instance, the universal power law scaling of the black hole mass. After that, the critical behaviors in gravitational collapse has become a new area of research. The critical behavior is closely related to the formation of naked singularity and the cosmic censor conjecture. This project is aimed to explore the critical phenomena in gravitational collapse and the cosmic censor conjecture in the following aspects: (1) Using Lemaitre-Tolman-Bondi, Vaidya and other analytical solutions to study the formation of black holes in gravitational collapse and properties near the critical point in the phase space, calculating the critical exponent and the mass gap of the black hole, etc. (2) Using the thin shell model to study the critical conditions for black hole formation for different matters in different spacetimes, and test the cosmic censor conjecture at the classical level. (3) Investigating the quantum behavior of particles and thin shells, testing the cosmic censor conjecture by taking into account the effect of quantum tunneling and back reaction. Based on our previous research on black holes, we shall investigate gravitational collapse and the cosmic censor conjecture at both classical and quantum levels, expecting to discover more general phenomena and laws.