Abstract
We construct an example of a compact Cauchy horizon that is not a differentiable manifold. This answers in the negative the question of whether a compact Cauchy horizon that arises from a space-like hypersurface is necessarily smooth.
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Budzyński, R.J., Kondracki, W. & Królak, A. On the Differentiability of Compact Cauchy Horizons. Letters in Mathematical Physics 63, 1–4 (2003). https://doi.org/10.1023/A:1022987824367
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DOI: https://doi.org/10.1023/A:1022987824367