2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34073In this paper, we find all the Conformal Killing Vectors (CKVs) and their Lie Algebra for the recently reported [cqg1] spherically symmetric, shear-free separable metric spacetimes with non-vanishing energy or heat flux. We also solve the geodesic equatios of motion for the spacetime under consideration.submitted to Classical and Quantum GravityGeneral Relativity and Quantum CosmologyConformal Killing Vectors in Spherically Symmetric, Inhomogeneous, Shear-free, Separable Metric Spacetimestext