UPPER AND LOWER BOUNDS FOR THE VOLUME OF A COMPACT SPACELIKE HYPERSURFACE IN A GENERALIZED ROBERTSON–WALKER SPACETIME

DOI10.1142/S0219887814500066zbMath1285.53058WikidataQ124823578 ScholiaQ124823578MaRDI QIDQ2874228

Juan A. Aledo, Rafael M. Rubio, Alfonso Romero

Publication date: 29 January 2014

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

warping functiongeneralized Robertson-Walker space-timehyperbolic angle functionvolume of a compact space-like hypersurface

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (7)

Scalar curvature of spacelike hypersurfaces and certain class of cosmological models for accelerated expanding universes ⋮ Constant mean curvature spacelike surfaces in Lorentzian warped products ⋮ Some characterizations of Lorentzian manifolds ⋮ Generalized Robertson–Walker spacetimes — A survey ⋮ A note on generalized Robertson–Walker space-times ⋮ A simple characterization of generalized Robertson-Walker spacetimes ⋮ Compact maximal hypersurfaces in globally hyperbolic spacetimes

Cites Work

• Gradient conformal Killing vectors and exact solutions
• Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
• Inhomogeneous cosmological models with homogeneous inner hypersurface geometry
• On the volume and the Gauss map image of spacelike hypersurfaces in de Sitter space
• Constant mean curvature spacelike hypersurfaces in Lorentzian manifolds with a timelike gradient conformal vector field
• General Relativity for Mathematicians
• Cosmological models expressible as gradient vector fields

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