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- Title
SOLUTIONS TO MEAN CURVATURE EQUATIONS IN WEIGHTED STANDARD STATIC SPACETIMES.
- Authors
DE LIMA, HENRIQUE F.; RAMALHO, ANDRÉ F. A.; VELÁSQUEZ, MARCO ANTONIO L.
- Abstract
In this article, we study the solutions for the mean curvature equation in a weighted standard static spacetime, Pnf x ρR1, having a warping function ρ whose weight function f does not depend on the parameter t ∈ R. We establish a f-parabolicity criterion to study the rigidity of spacelike hypersurfaces immersed in Pnf 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 ρ R1, where Gn is the Gaussian space.
- Subjects
CURVATURE; EQUATIONS; SPACETIME; SPACE
- Publication
Electronic Journal of Differential Equations, 2020, Issue 74-85, p1
- ISSN
1550-6150
- Publication type
Article