165 citations · 1.1k across the 59 of their papers we have counts for
5 papers · 1 filter
Cauchy hypersurfaces as levels of time and temporal functions
Antonio N. Bernal, Miguel Sánchez
This paper has been withdrawn because the new one gr-qc/0512095 includes all its results (as well as those in gr-qc/0507018), in a clearer way.
Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions
Antonio N. Bernal, Miguel Sánchez
Recently, folk questions on the smoothability of Cauchy hypersurfaces and time functions of a globally hyperbolic spacetime M, have been solved. Here we give further results, appli…
Further properties of causal relationship: causal structure stability, new criteria for isocausality and counterexamples
Alfonso García-Parrado, Miguel Sánchez
Recently ({\em Class. Quant. Grav.} {\bf 20} 625-664) the concept of {\em causal mapping} between spacetimes --essentially equivalent in this context to the {\em chronological map}…
A note on the extendability of compact hypersurfaces to smooth Cauchy hypersurfaces
Antonio N. Bernal, Miguel Sánchez
This paper has been withdrawn because the new one gr-qc/0512095 includes all its results (as well as those in gr-qc/0511016) in a clearer way.
On causality and closed geodesics of compact Lorentzian manifolds and static spacetimes
Miguel Sánchez
Some results related to the causality of compact Lorentzian manifolds are proven: (1) any compact Lorentzian manifold which admits a timelike conformal vector field is totally vici…