Characterizations of Q-solitons on (almost) coKähler manifolds and its applications in magneto-fluid spacetimes

In the present article, we introduce Q -solitons, a generalization of Riemann solitons, on (almost) coKähler manifolds ( ACKM , in short). Here we obtain a necessary condition from which we establish that a compact ACKM admitting Q -soliton whose soliton vector field is pointwise collinear with the Reeb vector field is a K - ACKM . We also prove that the soliton vector field of a Q -soliton on (κ ,μ ) ( κ , μ ) - ACKM with κ <0 κ < 0 is an infinitesimal contact transformation. For the gradient case, we show that under certain restriction a (κ ,μ ) ( κ , μ ) - ACKM (κ <0) ( κ < 0 ) reduces to N ( K )- ACKM . We deduce that a three dimensional coKähler manifold admitting Q -soliton obeys Δ R+Δ Ψ =0 Δ R + Δ Ψ = 0 . Also we construct an example to verify our deduced results. Moreover, we explore certain results on Q -solitons in the context of relativistic magneto-fluid spacetimes.