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

Abstract 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) - ACKM with κ 0 is an infinitesimal contact transformation. For the gradient case, we show that under certain restriction a (, ) (κ, μ) - ACKM ( (κ 0) reduces to N (K) - ACKM. We deduce that a three dimensional coKähler manifold admitting Q -soliton obeys R+ =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.