Adopting Rif Algorithm to Study Ricci Solitons and their Associated Vector Fields in Bianchi Type V Spacetime

This article investigates Ricci solitons (RSs) and their associated vector fields in the framework of locally rotationally symmetric (LRS) Bianchi type V spacetime. The Rif(Reduced involutive form)-tree technique is employed to systematically handle the complexities arising in the Ricci soliton field equations. The governing system is converted into a reduced involutive form using a computational algorithm, which facilitates the decomposition of the integration procedure into a hierarchy of cases organized in a tree-like structure. Specific constraints imposed on the metric functions define each branch of this structure, thereby simplifying the solution process. Explicit expressions for the metric functions and the corresponding Ricci soliton vector fields (RSVFs) are derived by solving the constrained system of equations. Moreover, some physical implications are also discussed for the obtained exact metrics.