Generalized quasi-Einstein GRW space-times

DOI10.1142/S021988781950124XzbMath1421.83030arXiv1904.12120OpenAlexW3098693533WikidataQ127683417 ScholiaQ127683417MaRDI QIDQ5233068

Sameh Shenawy, Uday Chand De

Publication date: 13 September 2019

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

Full work available at URL: https://arxiv.org/abs/1904.12120

zbMATH Keywords

Einstein manifoldsperfect fluid space-timesgeneralized Robertson-Walker space-timesQuasi-Einstein manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) 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) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (9)

Gray’s decomposition on doubly warped product manifolds and applications ⋮ Characterization of perfect fluid spacetimes admitting gradient \(\eta\)-Ricci and gradient Einstein solitons ⋮ \(\varphi(\mathrm{Ric})\)-vector fields on warped product manifolds and applications ⋮ Unnamed Item ⋮ Curvature properties of spacelike hypersurfaces in a RW spacetime ⋮ Vaisman manifolds and transversally Kähler-Einstein metrics ⋮ Chen inequalities on lightlike hypersurfaces of a GRW spacetime ⋮ On generalized projective \(\mathcal{P}\)-curvature tensor ⋮ On quasi-Einstein sequential warped product manifolds

Cites Work

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• Generalized Robertson–Walker spacetimes — A survey
• Riemann compatible tensors
• Riemannian manifolds satisfying certain conditions on pseudo-projective curvature tensor
• Perfect-fluid, generalized Robertson-Walker space-times, and Gray’s decomposition

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