A simple characterization of generalized Robertson-Walker spacetimes
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Publication:2513525
DOI10.1007/s10714-014-1833-9zbMath1308.83159arXiv1411.0270OpenAlexW2015285115MaRDI QIDQ2513525
Publication date: 28 January 2015
Published in: General Relativity and Gravitation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.0270
generalized Robertson-Walker spacetimeRobertson-Walker spacetimeLorentzian warped producttimelike concircular vector field
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Cites Work
- Unnamed Item
- Unnamed Item
- On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime
- Eine innere Kennzeichnung der verzerrten Produkte
- On the geometry of generalized Robertson-Walker spacetimes: Curvature and Killing fields
- On curvature properties of certain generalized Robertson-Walker spacetimes
- Twisted products in pseudo-Riemannian geometry
- Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
- On the geometry of generalized Robertson-Walker spacetimes: geodesics.
- Uniqueness of complete maximal hypersurfaces in spatially parabolic generalized Robertson–Walker spacetimes
- UPPER AND LOWER BOUNDS FOR THE VOLUME OF A COMPACT SPACELIKE HYPERSURFACE IN A GENERALIZED ROBERTSON–WALKER SPACETIME
- Total Mean Curvature and Submanifolds of Finite Type
- Constant mean curvature spacelike hypersurfaces in Lorentzian manifolds with a timelike gradient conformal vector field
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