Electrical machine with a stator and a cylindrical rotor disposed inside the stator, which are disposed in a housing, - wherein a gap is disposed between stator and rotor, - wherein the housing has a cooling jacket with housing inlet openings pointing inwards in each case and housing outlet openings as well as housing cooling channels (17, 18) disposed between the housing inlet openings and housing outlet openings, in which a coolant is able to be conveyed in an axial direction in each case, - wherein the rotor has a rotor jacket concentric to a shaft and two axial ends at right angles to the shaft, - wherein the rotor has rotor inlet openings at its two axial ends through which a coolant can penetrate into the rotor, characterised in that - the rotor has a least one rotor coolant guide plate which is disposed within the rotor concentric to the rotor jacket, which is disposed radially further outwards in relation to the rotor inlet openings and which extends in each case from the first axial end of the rotor and from the second axial end of the rotor in the direction of the area of the axial centre of the rotor, - the at least one rotor coolant guide plate has at least one opening radially outwards in the area of the axial centre of the rotor through which the coolant within the rotor is able to be guided outwards to the inner surface of the rotor jacket, - the rotor has at least one radial cooling slot in the area of the axial centre of the rotor jacket, through which the coolant is able to be guided from the inner surface of the rotor jacket to the gap, - the rotor has outlet openings at its two axial ends, which are disposed radially further outwards in relation to the at least one rotor coolant guide plate and through which the coolant is able to be removed from the rotor in the axial direction, and - the housing has a housing coolant guide plate in each case at the axial ends of the rotor, through which the coolant is able to be guided out of the gap and out of the rotor outlet openings into the housing inlet openings and through which, separated therefrom in terms of flow, the coolant is able to be guided from the housing outlet openings into the rotor inlet openings. - wherein a gap is disposed between stator and rotor, - wherein the housing has a cooling jacket with housing inlet openings pointing inwards in each case and housing outlet openings as well as housing cooling channels (17, 18) disposed between the housing inlet openings and housing outlet openings, in which a coolant is able to be conveyed in an axial direction in each case, - wherein the rotor has a rotor jacket concentric to a shaft and two axial ends at right angles to the shaft, - wherein the rotor has rotor inlet openings at its two axial ends through which a coolant can penetrate into the rotor, characterised in that - the rotor has a least one rotor coolant guide plate which is disposed within the rotor concentric to the rotor jacket, which is disposed radially further outwards in relation to the rotor inlet openings and which extends in each case from the first axial end of the rotor and from the second axial end of the rotor in the direction of the area of the axial centre of the rotor, - the at least one rotor coolant guide plate has at least one opening radially outwards in the area of the axial centre of the rotor through which the coolant within the rotor is able to be guided outwards to the inner surface of the rotor jacket, - the rotor has at least one radial cooling slot in the area of the axial centre of the rotor jacket, through which the coolant is able to be guided from the inner surface of the rotor jacket to the gap, - the rotor has outlet openings at its two axial ends, which are disposed radially further outwards in relation to the at least one rotor coolant guide plate and through which the coolant is able to be removed from the rotor in the axial direction, and - the housing has a housing coolant guide plate in each case at the axial ends of the rotor, through which the coolant is able to be guided out of the gap and out of the rotor outlet openings into the housing inlet openings and through which, separated therefrom in terms of flow, the coolant is able to be guided from the housing outlet openings into the rotor inlet openings.