Marginally trapped submanifolds in generalized Robertson-Walker spacetimes

DOI10.1007/s10714-017-2188-9zbMath1358.83084OpenAlexW2575703981MaRDI QIDQ520112

Luis J. Alías, Verónica L. Cánovas, Antonio Gervásio Colares

Publication date: 3 April 2017

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10714-017-2188-9

zbMATH Keywords

maximum principlemean curvatureweak maximum principlegeneral Robertson-Walker spacetimesmarginally trapped submanifolds

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Kaluza-Klein and other higher-dimensional theories (83E15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (8)

Curvature properties of spacelike hypersurfaces in a RW spacetime ⋮ On complete trapped submanifolds in globally hyperbolic spacetimes ⋮ About the parabolicity of trapped submanifolds in standard static spacetimes ⋮ Extremal and weakly trapped submanifolds in generalized Robertson-Walker spacetimes ⋮ Submanifolds immersed in a warped product: Rigidity and nonexistence ⋮ Weakly trapped submanifolds immersed in generalized Robertson-Walker spacetimes ⋮ Rigidity and nonexistence results for \(r\)-trapped submanifold in GRW spacetimes ⋮ Minimal and weakly trapped submanifolds in standard static spacetimes

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