Solutions of the Ricci soliton equation for a large class of Siklos spacetimes

DOI10.1142/s0219887821500523OpenAlexW3123187050MaRDI QIDQ6125337

Giovanni Calvaruso

Publication date: 11 April 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887821500523

zbMATH Keywords

exact solutionsgradient Ricci solitonsRicci solitonssiklos spacetimes

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

On the symmetries of Siklos spacetimes

Cites Work

• Oscillator spacetimes are Ricci solitons
• Locally conformally flat Lorentzian gradient Ricci solitons
• On solutions of the Ricci curvature equation and the Einstein equation
• A note on Ricci solitons
• The Ricci soliton equation and the structure of homogeneous Gödel-type spacetimes
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• A complete classification of Ricci and Yamabe solitons of non-reductive homogeneous 4-spaces
• Ricci Solitons and Geometry of Four-dimensional Non-reductive Homogeneous Spaces
• Ricci solitons on Lorentzian manifolds with large isometry groups
• Ricci solitons and Einstein-scalar field theory
• Interpretation of the Siklos solutions as exact gravitational waves in the anti-de Sitter universe
• The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons
• Siklos spacetimes as homogeneous Ricci solitons
• Four-dimensional pseudo-Riemannian homogeneous Ricci solitons

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