Weakly trapped submanifolds immersed in generalized Robertson-Walker spacetimes

DOI10.1016/j.jmaa.2019.123734OpenAlexW2990663273WikidataQ126640416 ScholiaQ126640416MaRDI QIDQ2287319

Antonio W. Cunha, Márcio S. Santos, Henrique Fernandes de Lima, Eraldo A. jun. Lima

Publication date: 20 January 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123734

zbMATH Keywords

mean curvature vector fieldgeneralized Robertson-Walker spacetimesspacelike submanifoldsweakly trapped submanifolds

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local submanifolds (53B25)

Related Items (4)

Curvature properties of spacelike hypersurfaces in a RW spacetime ⋮ About the parabolicity of trapped submanifolds in standard static spacetimes ⋮ Extremal and weakly trapped submanifolds in generalized Robertson-Walker spacetimes ⋮ Rigidity and nonexistence results for \(r\)-trapped submanifold in GRW spacetimes

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