Extremal and weakly trapped submanifolds in Generalized Robertson-Walker spacetimes
arXiv:2401.16912 · doi:10.1016/j.jmaa.2021.125533
Abstract
In this article we obtain new rigidity results for spacelike submanifolds of arbitrary codimension in Generalized Robertson-Walker spacetimes. Namely, under appropriate assumptions such as parabolicity we prove by means of some maximum principles that they must be contained in a spacelike slice. This enables us to characterize extremal and weakly trapped submanifolds in these ambient spacetimes.
This is a preprint of the article published available at https://doi.org/10.1016/j.jmaa.2021.125533
References in corpus (6)
- Boost invariant marginally trapped surfaces in Minkowski 4-space
- Codimension two marginally trapped submanifolds in Robertson-Walker spaces
- Constant mean curvature spacelike hypersurfaces in spatially open GRW spacetimes
- On uniqueness of the foliation by comoving observers restspaces of a Generalized Robertson Walker spacetime
- From holography to the geometry of the spacetime
- Spacelike hypersurfaces in standard static spacetimes