A new approach for uniqueness of complete maximal hypersurfaces in spatially parabolic GRW spacetimes

DOI10.1016/j.jmaa.2014.04.063zbMath1295.83063OpenAlexW2075762904WikidataQ125972660 ScholiaQ125972660MaRDI QIDQ2252475

Rafael M. Rubio, Alfonso Romero, Juan Jesús Salamanca

Publication date: 17 July 2014

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.2014.04.063

zbMATH Keywords

Calabi-Bernstein problemparabolicitygeneralized Robertson-Walker spacetimemaximal hypersurface

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (15)

Rigidity of complete hypersurfaces in warped product spaces via higher order mean curvatures ⋮ Uniqueness of spacelike hypersurfaces in a GRW spacetime via higher order mean curvatures ⋮ Rigidity of parabolic and stable spacelike hypersurfaces in a generalized Robertson-Walker spacetime ⋮ Unnamed Item ⋮ A new Calabi-Bernstein type result in spatially closed generalized Robertson-Walker spacetimes ⋮ Space-like hypersurfaces with functionally bounded mean curvature in Lorentzian warped products and generalized Calabi–Bernstein-type problems ⋮ Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped product ⋮ Curvature properties of spacelike hypersurfaces in a RW spacetime ⋮ Complete spacelike hypersurfaces on symmetric spacetimes ⋮ \(\phi \)-parabolicity and the uniqueness of spacelike hypersurfaces immersed in a spatially weighted GRW spacetime ⋮ Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes ⋮ New examples of Moser–Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry ⋮ Calabi-Bernstein type results for complete constant mean curvature spacelike hypersurfaces in spatially open generalized Robertson-Walker spacetimes ⋮ Compact maximal hypersurfaces in globally hyperbolic spacetimes ⋮ Unnamed Item

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