English

On the global existence of time

General Relativity and Quantum Cosmology 2010-02-17 v2

Abstract

The existence of a global time is often taken for granted but should instead be considered as a matter of investigation. By using the tools of global Lorentzian geometry I show that, under physically reasonable conditions, the impossibility of finding a global time implies the singularity of spacetime.

Keywords

Cite

@article{arxiv.0901.0904,
  title  = {On the global existence of time},
  author = {E. Minguzzi},
  journal= {arXiv preprint arXiv:0901.0904},
  year   = {2010}
}

Comments

11 pages, 3 figures. Third juried prize at the FQXi contest "The nature of time". In this version some misprints have been fixed, and some references have been updated