Solutions to mean curvature equations in weighted standard static spacetimes
dc.contributor.author | de Lima, Henrique F. | |
dc.contributor.author | Ramalho, Andre F. A. | |
dc.contributor.author | Velasquez, Marco Antonio | |
dc.date.accessioned | 2021-10-04T15:45:57Z | |
dc.date.available | 2021-10-04T15:45:57Z | |
dc.date.issued | 2020-07-30 | |
dc.description.abstract | In 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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 19 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | de Lima, H. F., Ramalho, A. F. A., & Velásquez, M. A. L. (2020). Solutions to mean curvature equations in weighted standard static spacetimes. Electronic Journal of Differential Equations, 2020(83), pp. 1-19. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14590 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Standard static spacetimes with density | |
dc.subject | Gaussian space | |
dc.subject | F-parabolic spacelike hypersurface | |
dc.subject | Entire Killing graphs | |
dc.subject | Mean curvature equation | |
dc.title | Solutions to mean curvature equations in weighted standard static spacetimes | |
dc.type | Article |