Weakly trapped submanifolds in standard static spacetimes
Weakly trapped submanifolds in standard static spacetimes
We study weakly trapped submanifolds of codimension two in a standard static spacetime.In this setting, we apply some generalized maximum principles in order to investigate the geometry of these trapped submanifolds.For instance, we establish sufficient conditions to guarantee that such a spacelike submanifold must be a hypersurface of the Riemannian …