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    Just want a quick simple question answered. Say if I have a charge density  \rho as seen in frame  \mathcal{F} and they want me to find the charge density  \rho ' and charge current density as seen in frame  \mathcal{F}' .

    I haven't been given the charge current density as seen in frame  \mathcal{F} so my question is, for my four-current vector can I just set the three current to the zero vector, i.e. setting the frame  \mathcal{F} as the rest frame for the three current so that it sees the three current as (0,0,0) relative to that frame if this makes sense? Can I always do this?
 
 
 
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