165 citations · 1.1k across the 59 of their papers we have counts for
4 papers · 1 filter
A note on causally simple and globally hyperbolic spacetimes
Miguel Sanchez
This paper has been withdrawn because the part concerning the definition of global hyperbolicity has already been included in an expanded and clearer way in gr-qc/0611138. The rema…
Geodesics in semi-Riemannian Manifolds: Geometric Properties and Variational Tools
Anna Maria Candela, Miguel Sánchez
Geodesics become an essential element of the geometry of a semi-Riemannian manifold. In fact, their differences and similarities with the (positive definite) Riemannian case, const…
The causal hierarchy of spacetimes
E. Minguzzi, M. Sanchez
The full causal ladder of spacetimes is constructed, and their updated main properties are developed. Old concepts and alternative definitions of each level of the ladder are revis…
An Invitation to Lorentzian Geometry
Olaf Müller, Miguel Sánchez
The intention of this article is to give a flavour of some global problems in General Relativity. We cover a variety of topics, some of them related to the fundamental concept of '…