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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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.

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