We provide a general procedure to calculate the current-induced spin-transfer torque which acts on a general steep magnetic texture due to the exchange interaction with an applied spin-polarized current. As an example, we consider a one-dimensional ferromagnetic quantum wire and also include a Rashba spin-orbit interaction. The spin-transfer torque becomes generally spatially non-local. Likewise, the Rashba spin-orbit interaction induces a spatially nonlocal field-like nonequilibrium spin-transfer torque. We also find a spatially varying nonadiabaticity parameter and markedly different domain wall dynamics for very steep textures as compared to wide domain walls. PACS numbers: 75.78.Fg, 75.70.Tj, The exchange interaction of a spin-polarized electron current with localized magnetic moments in a ferromagnetic wire typically induces a spin transfer torque (STT). A pronounced consequence is the coordinated switching of the localized magnetic moments of a ferromagnetic domain wall (DW) in the wire generating a net DW motion [1][2][3]. Other magnetic textures also rose to recent prominence, such as magnetic vortices and skyrmions [4][5][6], or one-dimensional spin chains [7]. There, the magnetization changes on much shorter length scales as compared to the conventional broad mesoscopic Bloch domain walls. In addition, these textures are in general strongly affected by symmetry breaking interactions, such as the spin-orbit [8] or the Dzyaloshinskii-Moriya interaction [9,10]. Clearly, in small structures, the backaction of the local magnetic moments on the polarized itinerant electron spins can become relevant. In particular, they themselves experience a back-acting STT as well. For wide magnetic textures, the impact of backaction is generally small since the itinerant spins relax much faster than they have time to interact with the local moments. Hence, for wide textures, it is reasonable to assume a stationary spin polarized current which generates the (non-)adiabatic STT [11]. This assumption, however, becomes increasingly invalid in more narrow or steep magnetic textures. In this context, questions have been raised why the nonadiabaticity parameter β is much larger in small vortex structures [12,13] than compared to spin-waves in extended structures [14]. This effect has been traced back to a non-standard description of the STT [15]. For a unified description of the STT for arbitrary magnetic textures, several approaches have been developed [15][16][17][18][19][20][21][22]. Nevertheless, a complete picture is still missing. Spin relaxation has either been neglected [16,17] or included [18][19][20], quantum corrections are considered [23] or a semiclassical approach on the basis of spin diffusion has been formulated [15,24]. Spin-orbit interaction has been considered for broad textures [21,22] only. In this work, we provide a general and conceptually simple scheme to calculate the STT for arbitrary magnetic textures. To show the flexibility of the approach, we also include the Rashba spin-orbit interaction in the iti...