Smoothness of compact horizons
General Relativity and Quantum Cosmology
2017-01-25 v2 Differential Geometry
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
Cite
@article{arxiv.1406.6194,
title = {Smoothness of compact horizons},
author = {Eric Larsson},
journal= {arXiv preprint arXiv:1406.6194},
year = {2017}
}
Comments
This is chapter one of arXiv:1406.6194v1, rewritten and improved