Dynamoelectric machine, in particular double-fed asynchronous machine, with - a stator and a rotor which is arranged fixedly on a shaft for conjoint rotation with in each case one winding system (26, 28), it being possible for the winding system of the rotor to be contacted electrically via a slip ring system, - an electric power transmission unit of the slip ring system, in particular a brush unit, one or more brushes being assigned per electrical phase to a slip ring, the brushes being arranged on a brush holder, - a slip ring body of the slip ring system comprising slip rings which are arranged axially behind one another, are assigned to an electrical phase and are spaced apart from one another in an insulated manner, the slip ring body being connected to the shaft for conjoint rotation and forming a cavity which is open axially on both sides at least in portions between the inner side of the slip ring body and the shaft, the shaft being a hollow shaft at least in the region of the slip ring system, cut-outs being provided axially on the inside on the cavity, through which cut-outs a cooling medium flow can be introduced axially into the cavity, the cavity being configured as a peripheral cut-out, with the result that the slip ring body lies at least on two bordering elements which run peripherally, are spaced apart axially from one another and of which the first has axially running cut-outs for introducing the cooling medium flow, and the first bordering element having, on the entire periphery, the axially running cut-outs for feeding in the cooling medium flow, characterized in that the feed lines are routed to the winding system of the rotor in the hollow shaft portion which is assigned to the slip ring system, in that the second bordering element has recesses for discharging the cooling medium flow which run axially on the outside and axially and through which the cooling medium flow can be discharged axially into an outlet region, in that the bordering elements are connected in one piece by way of a shrink fit to the inner side of the slip ring body and/or the shaft, and in that the second bordering element has the axially running cut-outs for discharging the cooling medium flow on the entire periphery. - a stator and a rotor which is arranged fixedly on a shaft for conjoint rotation with in each case one winding system (26, 28), it being possible for the winding system of the rotor to be contacted electrically via a slip ring system, - an electric power transmission unit of the slip ring system, in particular a brush unit, one or more brushes being assigned per electrical phase to a slip ring, the brushes being arranged on a brush holder, - a slip ring body of the slip ring system comprising slip rings which are arranged axially behind one another, are assigned to an electrical phase and are spaced apart from one another in an insulated manner, the slip ring body being connected to the shaft for conjoint rotation and forming a cavity which is open axially on both sides at least in portions between the inner side of the slip ring body and the shaft, the shaft being a hollow shaft at least in the region of the slip ring system, cut-outs being provided axially on the inside on the cavity, through which cut-outs a cooling medium flow can be introduced axially into the cavity, the cavity being configured as a peripheral cut-out, with the result that the slip ring body lies at least on two bordering elements which run peripherally, are spaced apart axially from one another and of which the first has axially running cut-outs for introducing the cooling medium flow, and the first bordering element having, on the entire periphery, the axially running cut-outs for feeding in the cooling medium flow, characterized in that the feed lines are routed to the winding system of the rotor in the hollow shaft portion which is assigned to the slip ring system, in that the second bordering element has recesses for discharging the cooling medium flow which run axially on the outside and axially and through which the cooling medium flow can be discharged axially into an outlet region, in that the bordering elements are connected in one piece by way of a shrink fit to the inner side of the slip ring body and/or the shaft, and in that the second bordering element has the axially running cut-outs for discharging the cooling medium flow on the entire periphery.