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In this poster we present the structure of an axisymmetric, force-freemagnetosphere of a twisted, aligned rotating dipole within a corotatingplasma-filled magnetosphere. We explore various profiles for the twist. We findthat as the current increases more field lines cross the light cylinder leadingto more efficient spin-down. Moreover, we notice that the twist cannot beincreased indefinitely and after a finite twist of about ${\pi}/2$ the fieldbecomes approximately radial. This could have implications for torquevariations of magnetars related to outbursts.

Force-free and twisted, relativistic neutron star magnetospheres