Spacetimes admitting the Z-symmetric tensor

DOI10.2989/16073606.2020.1816587zbMath1485.53022OpenAlexW3088404351MaRDI QIDQ5023616

A. Yavuz Taşci, Füsun Özen Zengın

Publication date: 24 January 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1816587

zbMATH Keywords

Einstein's field equationperfect fluid spacetimesZ-symmetric tensorpressureless perfect fluid spacetimes

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Characterizations of quasi-Einstein spacetimes and f(ℛ,G)-gravity ⋮ Characterizations of mixed quasi-Einstein spacetimes under Gray’s decomposition ⋮ Some physical properties of generalized quasi-Einstein spacetimes under Gray’s decomposition

Cites Work

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• On weakly cyclic \(Z\) symmetric manifolds
• Two simple solutions to Einstein's field equations
• Einstein-like manifolds which are not Einstein
• On weakly cyclic Z symmetric spacetimes
• Space-times with covariant-constant energy-momentum tensor
• Spacetimes with semisymmetric energy-momentum tensor
• Weakly \(Z\)-symmetric manifolds
• Conformally symmetric semi-Riemannian manifolds.
• Pseudo-Z symmetric space-times with divergence-free Weyl tensor and pp-waves
• PSEUDO Z SYMMETRIC RIEMANNIAN MANIFOLDS WITH HARMONIC CURVATURE TENSORS
• Pseudo-Z symmetric space-times
• On Ruse's Spaces of Recurrent Curvature
• On the torse-forming directions in Riemannian spaces

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