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Chronological null complete spacetimes admit a global time

arXiv:0807.0103 · doi:10.1063/1.3141324

Abstract

The result "chronological spacetimes without lightlike lines are stably causal" is announced and motivated. It implies that chronological spacetimes which are null geodesically complete and satisfy the null genericity and the null (averaged) energy condition admit a time function.

Latex2e, 4 pages, 1 figure. To appear in the Proceedings of the "Spanish Relativity Meeting: Physics and Mathematics of Gravitation", Salamanca (Spain), September 15-19, 2008