A study of generalized quasi Einstein spacetimes with applications in general relativity

DOI10.1007/S10773-015-2692-1zbMath1337.83010OpenAlexW430416562WikidataQ124387784 ScholiaQ124387784MaRDI QIDQ267362

Sinem Güler, Sezgin Altay Demirbağ

Publication date: 8 April 2016

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-015-2692-1

zbMATH Keywords

generalized quasi Einstein spacetimePetrov typespurely electric spacetimesRicci recurrentWeyl compatibility

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) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

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Cites Work

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• Ricci curvatures of contact Riemannian manifolds
• Weyl compatible tensors
• Riemann compatible tensors
• Extended Derdziński–Shen theorem for curvature tensors
• ON N(k)-QUASI EINSTEIN MANIFOLDS
• On conformally symmetric Ricci-recurrent spaces
• On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry
• On the equivalence of Ricci-semisymmetry and semisymmetry
• Exact Solutions of Einstein's Field Equations
• Concircular geometry I. Concircular transformations
• Some Theorems on Ricci-Recurrent Spaces

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