"Nice" Future Causal Boundary at Finite Distance and Low-Regularity Extension

Explore the concept of the Future Causal Boundary (FCB) in spacetime geometry through this 46-minute conference talk delivered at the Workshop on "Non-regular Spacetime Geometry" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the first investigation of largely generic spacetimes in the context of the Causal Boundary construction, which has existed since 1972. Examine the assumptions of a foliation of spacetime M by a family Q of observers with finite lifetimes, and discover the physical observations that result in the Future Completion of M having a specific topology. Learn about the curvature conditions that guarantee continuous metric extension to the FCB, suggesting potential low-regularity spacetime extensions. Compare these findings with the behavior observed in Interior Schwarzschild spacetime, and gain insights into the cutting-edge research in non-regular spacetime geometry.