Abstract
We prove that compact Cauchy horizons in a smooth spacetime satisfying the null energy condition are smooth. As an application, we consider the problem of determining when a cobordism admits Lorentzian metrics with certain properties. In particular, we prove a result originally due to Tipler without the smoothness hypothesis necessary in the original proof.
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Communicated by James A. Isenberg.
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Larsson, E. Smoothness of Compact Horizons. Ann. Henri Poincaré 16, 2163–2214 (2015). https://doi.org/10.1007/s00023-014-0371-z
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DOI: https://doi.org/10.1007/s00023-014-0371-z