Causal bubbles in globally hyperbolic spacetimes

Abstract

We give an example of a spacetime with a continuous metric which is globally hyperbolic and exhibits causal bubbling. The metric moreover splits orthogonally into a timelike and a spacelike part. We discuss our example in the context of energy conditions and the recently introduced synthetic timelike curvature-dimension (TCD) condition. In particular we observe that the TCD-condition does not, by itself, prevent causal bubbling.

5 pages, 1 figure

References in corpus (2)

• A review of Lorentzian synthetic theory of timelike Ricci curvature bounds
• Causality theory of spacetimes with continuous Lorentzian metrics revisited