On the Weyl and Ricci tensors of Generalized Robertson-Walker space-times

DOI10.1063/1.4965714zbMath1352.83008arXiv1608.01209OpenAlexW3103689520MaRDI QIDQ2832721

Luca Guido Molinari, Carlo Alberto Mantica

Publication date: 14 November 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01209

zbMATH Keywords

Ricci tensorWeyl tensorRobertson-Walker space-timesharmonic Weyl tensorconcircular vector

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Kaluza-Klein and other higher-dimensional theories (83E15)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On warped product manifolds satisfying some curvature conditions
• Global decomposition of a Lorentzian manifold as a generalized Robertson-Walker space
• On the geometry of generalized Robertson-Walker spacetimes: Curvature and Killing fields
• On curvature properties of certain generalized Robertson-Walker spacetimes
• Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
• On the geometry of generalized Robertson-Walker spacetimes: geodesics.
• A simple characterization of generalized Robertson-Walker spacetimes
• A condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time
• Weyl compatible tensors
• Some remarks on locally conformally flat static space–times
• Riemann compatible tensors
• A note on generalized Robertson–Walker space-times
• On the torse-forming directions in Riemannian spaces

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