Generalized cones as Lorentzian length spaces: Causality, curvature, and singularity theorems

Understand

We study generalizations of Lorentzian warped products with one-dimensional base of the form $I\times_f X$, where $I$ is an interval, $X$ is a length space and $f$ is a positive continuous function.

• These generalized cones furnish an important class of Lorentzian length spaces in the sense of [Kunzinger, S\"amann; Ann.
• Glob.
• Anal.