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arXiv · 1407.0340

Yet another proof of Hawking and Ellis's Lemma 8.5.5

S. Krasnikov
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Abstract

The fact that the null generators of a future Cauchy horizon are past complete was proved first by Hawking and Ellis [1]. Then Budzy\'nski, Kondracki, and Kr\'olak outlined a proof free from an error found in the original one [2]. Finally, a week ago Minguzzi published his version of proof [3] patching a previously unnoticed hole in the preceding two. I am not aware of any flaws in that last proof, but it is quite difficult. In this note I present a simpler one.

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S. Krasnikov. 2014-07-01. Yet another proof of Hawking and Ellis's Lemma 8.5.5. https://doi.org/10.1088/0264-9381/31/22/227001

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