Characterization of perfect fluid spacetimes admitting gradient \(\eta\)-Ricci and gradient Einstein solitons

DOI10.1016/j.geomphys.2020.104069zbMath1464.53058OpenAlexW3115151666MaRDI QIDQ2662732

Sudhakar Kumar Chaubey

Publication date: 14 April 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2020.104069

zbMATH Keywords

Killing vector fieldLorentzian manifoldsperfect fluid spacetime\textit{GRW} space-timesgradient \(\eta\)-Ricci solitongradient Einstein soliton

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) 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) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Ricci flows (53E20)

Related Items (10)

Einstein solitons with unit geodesic potential vector field ⋮ Generalized Ricci recurrent spacetimes and GRW spacetimes ⋮ Rigidity of gradient generalized \(\eta\)-Ricci solitons ⋮ Semi-Symmetric Curvature Properties of Robertson–Walker Spacetimes ⋮ Conformal vector field and gradient Einstein solitons on η-Einstein cosymplectic manifolds ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Characterization of Lorentzian manifolds with a semi-symmetric linear connection ⋮ Perfect fluid spacetimes and Yamabe solitons

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