Ricci-Bourguignon Soliton on Perfect Fluid Spacetime
Résumé
This paper examines perfect fluid spacetimes in the context of Ricci-Bourguignon solitons and η
Ricci-Bourguignon solitons, emphasizing the role of torse-forming vector fields. We derive the conditions for a
Ricci-Borguignon soliton to be shrinking, steady, or expanding, by analyzing the associated scalar parameters.
Additionally, we investigate perfect fluid spacetimes satisfying the condition (ξ,·)C · Z = 0, (ξ,·)H · Z = 0.
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