[HTML][HTML] Null distance and convergence of Lorentzian length spaces
M Kunzinger, R Steinbauer�- Annales Henri Poincar�, 2022 - Springer
M Kunzinger, R Steinbauer
Annales Henri Poincar�, 2022•SpringerThe null distance of Sormani and Vega encodes the manifold topology as well as the
causality structure of a (smooth) spacetime. We extend this concept to Lorentzian length
spaces, the analog of (metric) length spaces, which generalize Lorentzian causality theory
beyond the manifold level. We then study Gromov–Hausdorff convergence based on the null
distance in warped product Lorentzian length spaces and prove first results on its
compatibility with synthetic curvature bounds.
causality structure of a (smooth) spacetime. We extend this concept to Lorentzian length
spaces, the analog of (metric) length spaces, which generalize Lorentzian causality theory
beyond the manifold level. We then study Gromov–Hausdorff convergence based on the null
distance in warped product Lorentzian length spaces and prove first results on its
compatibility with synthetic curvature bounds.
Abstract
The null distance of Sormani and Vega encodes the manifold topology as well as the causality structure of a (smooth) spacetime. We extend this concept to Lorentzian length spaces, the analog of (metric) length spaces, which generalize Lorentzian causality theory beyond the manifold level. We then study Gromov–Hausdorff convergence based on the null distance in warped product Lorentzian length spaces and prove first results on its compatibility with synthetic curvature bounds.
Springer