de Lima, Henrique F.Ramalho, Andre F. A.Velasquez, Marco Antonio2021-10-042021-10-042020-07-30de Lima, H. F., Ramalho, A. F. A., & Velásquez, M. A. L. (2020). Solutions to mean curvature equations in weighted standard static spacetimes. <i>Electronic Journal of Differential Equations, 2020</i>(83), pp. 1-19.1072-6691https://hdl.handle.net/10877/14590In this article, we study the solutions for the mean curvature equation in a weighted standard static spacetime, ℙnƒ x ρℝ1, having a warping function ρ whose weight function ƒ does not depend on the parameter t ∈ ℝ. We establish a ƒ-parabolicity criterion to study the rigidity of spacelike hypersurfaces immersed in ℙnƒ x ρℝ1 and, in particular, of entire Killing graphs constructed over the Riemannian base ℙn. Also we give applications to weighted standard static spacetimes of the type Gn x ρℝ1, where Gn is the Gaussian space.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalStandard static spacetimes with densityGaussian spaceF-parabolic spacelike hypersurfaceEntire Killing graphsMean curvature equationArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.