介绍了广义相对论中的奇点困难和霍金与彭若斯给出的著名的奇点定理的证明。
The singularity difficulty and the proof of the famous singularity theorems given by Hawking and Penrose in general relativity are introduced.
使用高斯-博内定理， 史蒂芬·霍金证明一个（四维）黑洞活动视界的拓扑结构是2个球体。
Using the Gauss-Bonnet theorem, Stephen Hawking proved that the topology of the event horizon of a (four dimensional) black hole is a 2-sphere.
介绍了黑洞理论和广义相对论中的几个重要疑难，涉及霍金辐射、信息佯谬、奇性定理和钟速同步，并给出了可能的解答。
Some major puzzles in black hole theory and General Relativity, including Hawking radiation, information puzzle, singularity theorem and synchronization of clock rate, are presented.
介绍了黑洞理论和广义相对论中的几个重要疑难，涉及霍金辐射、信息佯谬、奇性定理和钟速同步，并给出了可能的解答。
Some major puzzles in black hole theory and General Relativity, including Hawking radiation, information puzzle, singularity theorem and synchronization of clock rate, are presented.
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