51 citations · 126 across the 7 of their papers we have counts for
4 papers · 1 filter
Spacetime distances: an exploration
Carlos Vega
What is the distance between two points in spacetime? This is a basic geometric question, which so far has no single, definitive answer. Unlike their Riemannian cousins, Lorentzian…
Rigidity in vacuum under conformal symmetry
Gregory J. Galloway, Carlos Vega
Moitvated in part by [3], in this note we obtain a rigidity result for globally hyperbolic vacuum spacetimes in arbitrary dimension that admit a timelike conformal Killing vector f…
Hausdorff closed limits and rigidity in Lorentzian geometry
Gregory J. Galloway, Carlos Vega
We begin with a basic exploration of the (point-set topological) notion of Hausdorff closed limits in the spacetime setting. Specifically, we show that this notion of limit is well…
Achronal limits, Lorentzian spheres, and splitting
Gregory J. Galloway, Carlos Vega
In the early 80's S.-T. Yau posed the problem of establishing the rigidity of the Hawking-Penrose singularity theorems. Approaches to this problem have involved the introduction of…