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We obtain a perturbative solution for rotating charged black holes in5-dimensional Einstein-Maxwell-Chern-Simons theory with a negative cosmologicalconstant. We start from a small undeformed Kerr-AdS solution and use theelectric charge as a perturbative parameter to build up black holes withequal-magnitude angular momenta up to forth order. These black hole solutionsare described by three parameters, the charge, horizon radius and horizonangular velocity. We determine the physical quantities of these black holes andstudy their dependence on the parameters of black holes and arbitraryChern-Simons coefficient. In particular, for values of CS coupling constantbeyond its supergravity amount, due to a rotational instability,counterrotating black holes arise. Also the rotating solutions appear to havevanishing angular momenta and do not manifest uniquely by their global charges.

Charged Rotating AdS Black Holes with Chern-Simons coupling