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Annales Henri Poincaré

, Volume 16, Issue 9, pp 2163–2214 | Cite as

Smoothness of Compact Horizons

  • Eric LarssonEmail author
Article

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.

Keywords

Null Vector Spacelike Hypersurface Null Energy Condition Timelike Curve Null Hypersurface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Department of MathematicsKTH Royal Institute of TechnologyStockholmSweden

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