On generalized Ricci recurrent manifolds with applications to relativity

DOI10.1007/s40010-013-0065-9zbMath1325.53061OpenAlexW2009811564MaRDI QIDQ893436

Avik De, Sahanous Mallick, Uday Chand De

Publication date: 19 November 2015

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-013-0065-9

zbMATH Keywords

energy-momentum tensorEinstein's field equationsquasi-Einstein manifoldsrecurrent manifoldcyclic Ricci tensorperfect fluid spacetimeCodazzi type of Ricci tensorgeneralized recurrent manifoldgeneralized Ricci recurrent manifoldRicci recurrent manifold

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (9)

Unnamed Item ⋮ How a Conformally Flat Impacts Gauss‐Bonnet Gravity? ⋮ On recurrent Riemannian and Ricci curvatures of Finsler metrics ⋮ Gray's decomposition and warped product of generalized Ricci recurrent spacetimes ⋮ A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds ⋮ On Generalized Pseudo-Projectively Recurrent Manifolds ⋮ On generalized \(M\)-projectively recurrent manifolds ⋮ Investigation of generalized \(\mathcal{Z}\)-recurrent spacetimes and \(f(\mathcal{R},T)\)-gravity ⋮ Rigidity of noncompact manifolds with cyclic parallel Ricci curvature

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