Process for producing hollow bodies comprising fiber-reinforced ceramic materials, where mold cores whose shape corresponds to that of the hollow spaces are produced in a first step, at least one mold core together with a press moulding composition or formable fiber composition are introduced into a mold, where the press moulding composition comprises carbon fibers and/or carbon filaments and thermally curable carbonizable binders, in such a way that the position of the cores corresponds to the desired position of the hollow spaces to be formed in a second step, the composition is cured in a third step by heating to a temperature of from 120 C. to 280 C., to give a green body, the strengthened green body is carbonized and or graphitized in a fourth step by heating in a nonoxidizing atmosphere to a temperature of from about 750 C. to about 2400 C. to form a C/C body, wherein heating in the third and/or fourth step is at least partly effected by an electric current being passed through the pressable composition or the green body and through at least one mold core, hollow bodies produced in this way and their use for producing clutch disks or brake disks, in particular for automobiles