Null Shells: Abstract Formulation of Junction Conditions and Particularization

Explore the abstract formulation of junction conditions in spacetime matching through this 36-minute conference talk by Miguel Manzano at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the hypersurface data formalism to understand an abstract approach to studying hypersurfaces and its application to junction conditions. Focus on the case of null boundaries, examining the gravitational and matter content of null shells, as well as their energy-momentum tensors. Investigate the phenomenon of multiple matchings and the relationships between matter contents in different matchings of the same spacetimes. Conclude by analyzing the most general cut-and-paste type matching within a single spacetime. This talk, part of the Workshop on "Non-regular Spacetime Geometry," offers advanced insights into the mathematical foundations of spacetime matching and null shells.