A monolithic multilayer actuator made of a sintered stack of thin films of piezoceramio with embedded metallic internal electrodes. All metallic internal electrodes of one polarity are electrically connected in parallel by way of a base metallization applied to the stack and wherein an external electrode is connected in an electrically conducting manner to the base metallization for electrical contacting purposes. In order to provide that the external electrode can be applied to the base metallization using simple and cost-effective means so that said electrode is expandable such that it dissipates the cracks arising from cracking energy in the actuator without the external electrode disconnecting in the process that are sintered together, the layer being applied onto the base metallization.