Riemann Solitons on a Spacetime with the Spatially Homogeneous Rotating Metric

Key Points

• The manuscript aims to categorize Riemann solitons in a specific spacetime framework and explore their geometric properties.
• Developed a taxonomy of Riemann solitons in spatially homogeneous rotating metrics.
• Analyzed the relationship of Riemann solitons with Killing vector fields.
• Examined correspondence with Ricci collineation and gradient vector fields.
• Established clear correlations between solitons and relevant vector fields.
• Demonstrated the geometric nature of solitons within the discussed frameworks.