Uniqueness of complete maximal hypersurfaces in spatially parabolic generalized Robertson–Walker spacetimes

From MaRDI portal
Publication:2841442

DOI10.1088/0264-9381/30/11/115007zbMath1271.83011OpenAlexW1977114175MaRDI QIDQ2841442

Alfonso Romero, Rafael M. Rubio, Juan Jesús Salamanca

Publication date: 25 July 2013

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/30/11/115007




Related Items (55)

Scalar curvature of spacelike hypersurfaces and certain class of cosmological models for accelerated expanding universesCharacterizations of Lorentzian manifoldsRigidity of complete hypersurfaces in warped product spaces via higher order mean curvaturesOn the dynamics of relativistic particles with torsion in warped product spacetimesSpacelike hypersurfaces in spatially parabolic standard static spacetimes and Calabi-Bernstein-type problemsA note on Concircular Structure space-timesUniqueness of spacelike hypersurfaces in a GRW spacetime via higher order mean curvaturesParabolicity and rigidity of two-sided hypersurfaces in Killing warped productsCharacterization of perfect fluid spacetimes admitting gradient \(\eta\)-Ricci and gradient Einstein solitonsRigidity of parabolic and stable spacelike hypersurfaces in a generalized Robertson-Walker spacetimeStatic perfect fluid spacetimes on GRW spacetimesRigidity and nonexistence of complete hypersurfaces via Liouville type results and other maximum principles, with applications to entire graphsUniqueness of complete maximal hypersurfaces in spatially open \((n+1)\)-dimensional Robertson-Walker spacetimes with flat fiberUnnamed ItemA new Calabi-Bernstein type result in spatially closed generalized Robertson-Walker spacetimesSpace-like hypersurfaces with functionally bounded mean curvature in Lorentzian warped products and generalized Calabi–Bernstein-type problemsParabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped productSpacelike mean curvature flow solitons, polynomial volume growth and stochastic completeness of spacelike hypersurfaces immersed into pp-wave spacetimesOn the higher order mean curvatures of spacelike hypersurfaces in pp-wave spacetimesOn the scalar curvature of spacelike hypersurfaces in generalized Robertson Walker spacetimesSolitons of the spacelike mean curvature flow in generalized Robertson-Walker spacetimesMaximum principles applied to translating solitons of the mean curvature flow in product spacesRelativistic spacetimes admitting almost Schouten solitonsOn geometric analysis of the dynamics of volumetric expansion and its applications to general relativityAbout the parabolicity of trapped submanifolds in standard static spacetimesON THE GEOMETRY OF SPACELIKE MEAN CURVATURE FLOW SOLITONS IMMERSED IN A GRW SPACETIMEConstant Mean Curvature Spacelike Hypersurfaces in Spacetimes with Certain Causal SymmetriesCosmological perfect-fluids in f(R) gravityFrom holography to the geometry of the spacetimeSome characterizations of Lorentzian manifoldsGeneralized Robertson–Walker spacetimes — A surveyUnnamed ItemPerfect-fluid, generalized Robertson-Walker space-times, and Gray’s decompositionConstant mean curvature spacelike hypersurfaces in Lorentzian warped products and Calabi-Bernstein type problemsComplete constant mean curvature spacelike hypersurfaces in the Einstein-de Sitter spacetimeComplete maximal hypersurfaces in certain spatially open generalized Robertson-Walker spacetimesExtremal and weakly trapped submanifolds in generalized Robertson-Walker spacetimesOn the stability and parabolicity of complete \(f\)-minimal hypersurfaces in weighted warped productsComplete spacelike hypersurfaces in generalized Robertson-Walker and the null convergence condition: Calabi-Bernstein problemsParabolicity and uniqueness of complete two-sided hypersurfaces immersed in a Riemannian warped productNew Calabi-Cernstein type results in weighted generalized Robertson-Walker spacetimesMean curvature of spacelike submanifolds in a Brinkmann spacetimeA new approach for uniqueness of complete maximal hypersurfaces in spatially parabolic GRW spacetimes\(\phi \)-parabolicity and the uniqueness of spacelike hypersurfaces immersed in a spatially weighted GRW spacetimeA condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-timeRigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimesA simple characterization of generalized Robertson-Walker spacetimesCalabi-Bernstein type results for complete constant mean curvature spacelike hypersurfaces in spatially open generalized Robertson-Walker spacetimesUnnamed ItemCompact maximal hypersurfaces in globally hyperbolic spacetimesComplete spacelike hypersurfaces immersed in pp-wave spacetimesConstant mean curvature spacelike hypersurfaces in spatially Open GRW spacetimesPerfect fluid spacetimes and Yamabe solitonsA New Technique for the Study of Complete Maximal Hypersurfaces in Certain Open Generalized Robertson–Walker SpacetimesUnnamed Item




This page was built for publication: Uniqueness of complete maximal hypersurfaces in spatially parabolic generalized Robertson–Walker spacetimes