Solutions to mean curvature equations in weighted standard static spacetimes

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dc.contributor.authorde Lima, Henrique F.
dc.contributor.authorRamalho, Andre F. A.
dc.contributor.authorVelasquez, Marco Antonio
dc.date.accessioned2021-10-04T15:45:57Z
dc.date.available2021-10-04T15:45:57Z
dc.date.issued2020-07-30
dc.description.abstractIn 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.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationde 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14590
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectStandard static spacetimes with density
dc.subjectGaussian space
dc.subjectF-parabolic spacelike hypersurface
dc.subjectEntire Killing graphs
dc.subjectMean curvature equation
dc.titleSolutions to mean curvature equations in weighted standard static spacetimes
dc.typeArticle

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