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The effect of the existence of a concurrent $\\pi$-vector field on some important special Finsler spaces is studied. An intrinsic investigation of a particular $\\beta$-change, namely the energy $\\beta$-change ($\\widetilde{L}^{2}(x,y)=L^{2}(x,y)+ B^{2}(x,y) with \\ B:=g(\\bar{\\zeta},\\bar{\\eta})$; $\\bar{\\zeta} $ being a concurrent $\\pi$-vector field), is established. 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