A class of solutions of the Ricci and Einstein equations

DOI10.1016/j.geomphys.2006.06.009zbMath1110.53028OpenAlexW1974764998MaRDI QIDQ864845

Keti Tenenblat, Romildo Pina

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.06.009

zbMATH Keywords

Ricci tensorconformal metricRicci equationEinstein Equation

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

On solutions of the Ricci curvature equation and the Einstein equation ⋮ Prescribed diagonal Schouten tensor in locally conformally flat manifolds ⋮ Group-invariant solutions for the Ricci curvature equation and the Einstein equation ⋮ On solutions to equations with partial Ricci curvature

Cites Work

• Existence of metrics with prescribed Ricci curvature: Local theory
• On metrics satisfying equation \(R_{ij}-\frac{1}{2}Kg_{ij}=T_{ij}\) for constant tensors \(T\)
• Metrics of negative Ricci curvature
• On the Ricci and Einstein equations on the pseudo-Euclidean and hyperbolic spaces
• Conformal metrics and Ricci tensors in the pseudo-Euclidean space
• The Ricci Curvature Equation with Rotational Symmetry
• Conformal metrics and Ricci tensors on the sphere
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