Uniqueness of complete maximal hypersurfaces in spatially open \((n+1)\)-dimensional Robertson-Walker spacetimes with flat fiber

DOI10.1007/s10714-016-2069-7zbMath1386.83123arXiv1605.03130OpenAlexW2358718925MaRDI QIDQ1690429

José A. S. Pelegrín, Rafael M. Rubio, Alfonso Romero

Publication date: 19 January 2018

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

Full work available at URL: https://arxiv.org/abs/1605.03130

zbMATH Keywords

Robertson-Walker spacetimesLorentzian geometrymaximal hypersurfaces

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Applications of global differential geometry to the sciences (53C80) Space-time singularities, cosmic censorship, etc. (83C75) 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) Exact solutions to problems in general relativity and gravitational theory (83C15) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (7)

Stable maximal hypersurfaces in Lorentzian spacetimes ⋮ Spacelike hypersurfaces in spatially parabolic standard static spacetimes and Calabi-Bernstein-type problems ⋮ Unnamed Item ⋮ From holography to the geometry of the spacetime ⋮ On uniqueness of the foliation by comoving observers restspaces of a generalized Robertson-Walker spacetime ⋮ Calabi-Bernstein type results for complete constant mean curvature spacelike hypersurfaces in spatially open generalized Robertson-Walker spacetimes ⋮ Constant mean curvature spacelike hypersurfaces in spatially Open GRW spacetimes

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