New Calabi-Cernstein type results in weighted generalized Robertson-Walker spacetimes (Q519908)

The authors study hypersurfaces in a weighted generalised Robertson-Walker spacetime. Note that a generalised Robertson-Walker space line is a warped product of an negative definite line with an \(n\)-dimensional Riemannian manifold. In a weighted manifold one then still has additionally a smooth function which allows the volume element to be changed. The authors then obtain Calabi-Bernstein-type results for complete space-like hypersurfaces in such spaces.