Issue |
EAS Publications Series
Volume 30, 2008
Spanish Relativity Meeting - Encuentros Relativistas Españoles , ERE2007: Relativistic Astrophysics and Cosmology
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Page(s) | 201 - 204 | |
DOI | https://doi.org/10.1051/eas:0830026 | |
Published online | 30 September 2008 |
Spanish Relativity Meeting - Encuentros Relativistas Españoles
, ERE2007:
Relativistic Astrophysics and Cosmology
A. Oscoz, E. Mediavilla and M. Serra-Ricart (eds)
EAS Publications Series, 30 (2008) 201-204
A. Oscoz, E. Mediavilla and M. Serra-Ricart (eds)
EAS Publications Series, 30 (2008) 201-204
Remarks on the notion of global hyperbolicity
Dep. Geometría y Topología, Fac. Ciencias, Campus Fuentenueva s/n, 18071 Granada, Spain
Global hyperbolicity is a classical and well-known concept, which lies in the core of General Relativity. Here we discuss briefly five approaches to this concept. They yield different definitions which become natural in diverse contexts: the initial value problem, singularity theorems, existence of maximizing causal geodesics, possibility to split globally the spacetime, causal boundaries. The neat formulation and definitive equivalence between these definitions have been completed only recently. A very brief summary is presented.
© EAS, EDP Sciences, 2008