Cosmological Models with Vanishing Conharmonic Curvature Tensorin Spacetime Manifolds

AbstractAhsan (2005) investigated the geometrical symmetries of spacetime within the framework of General Relativity. Negi and Sulochana (2021) introduced and computed the conformal symmetric tensor for Kaehlerian manifolds. More recently, Negi and Preeti Chauhan (2022) developed the framework for Kaehlerian Weyl-conformal and Weyl-conharmonic recurrent curvature manifolds. Building on these contributions, the present study examines the presence of conformal Killing vector (CKV) fields in space time manifolds that satisfy the Einstein field equations (EnFEs) with a cosmological constant, under the condition of a vanishing conharmonic curvature tensor (CCT). Furthermore, cosmological models of perfect fluids with vanishing conformal curvature tensor (CCT) are also considered.