165 citations · 1.1k across the 59 of their papers we have counts for
6 papers · 1 filter
Hausdorff separability of the boundaries for spacetimes and sequential spaces
J. L. Flores, J. Herrera, M. Sanchez
There are several ideal boundaries and completions in General Relativity sharing the topological property of being sequential, i.e., determined by the convergence of its sequences…
Computability of the causal boundary by using isocausality
J. L. Flores, J. Herrera, M. Sanchez
Recently, a new viewpoint on the classical c-boundary in Mathematical Relativity has been developed, the relations of this boundary with the conformal one and other classical bound…
Isocausal spacetimes may have different causal boundaries
J. L. Flores, J. Herrera, M. Sanchez
We construct an example which shows that two isocausal spacetimes, in the sense introduced by García-Parrado and Senovilla, may have c-boundaries which are not equal (more precisel…
On the final definition of the causal boundary and its relation with the conformal boundary
J. L. Flores, J. Herrera, M. Sanchez
The notion of causal boundary for a strongly causal spacetime has been a controversial topic along last decades: on one hand, some attempted definitions were not f…
On the foundations and necessity of classical gauge invariance
Miguel Sánchez
We argue that, ideally, the ways to measure magnitudes in non-quantum theories of physics (spacetime, field theory), limit drastically their possible mathematical models. In partic…
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}…