Classification of the k-contractions of the Maxwell algebra with no central charges

2019 
We construct all the possible non-relativistic, non trivial, Galilei and Carroll k-contractions of the Maxwell algebra in $D+1$ space-time dimensions. without central extensions. For non trivial solutions, we intend the ones with a non abelian algebra of the momenta. We find in both cases, Galilei and Carroll, 8 non trivial solutions. We study also the electromagnetic properties of the solutions, defined according to the scaling performed on the charges present in the Maxwell algebra. We find that besides the electric and magnetic contractions studied in the literature for $k=1$, there exist also contractions where the two types of charges are scaled in the same way.
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