Global Hyperbolicity Through the Eyes of the Null Distance
Explore global hyperbolicity in spacetime geometry through null distance, encoding causal information in metric space structures and characterizing completeness.
Constructing Distance Realizers via Midpoints in Lorentzian Mid-Length Space
Explore Lorentzian pre-length spaces, null distance, and midpoint properties to construct distance realizers between timelike related points in non-regular spacetime geometry.
Lorentzian Length Spaces: An Introduction to Synthetic Lorentzian Geometry
Explore synthetic Lorentzian geometry foundations, focusing on time separation functions, curvature bounds, and applications in General Relativity, including recent developments in singularity theorems.
On the Classification Problem for Static Metrics with Positive Cosmological Constant
Explore recent advances in classifying static solutions to vacuum Einstein field equations with positive cosmological constant and related mass concepts in general relativity.
Non-Regular Spacetime Geometry via Metric Measure Geometry
Explore non-regular spacetime geometry using metric geometry, extending Lorentzian geometry beyond classical differential geometry for low-regularity spacetimes and general spaces.