A method for producing a green body includes forming a layer which contains a powder of a ceramic on a substrate, applying at least one solidifying composition on at least a part of the layer, repeating forming the layer and applying at least one solidifying composition at least one time, removing the solvent or dispersing agent at least in part for forming a green body, and removing the powder which has not bonded and thereby exposing the green body. The solidifying composition contains a dissolved or liquid organometallic compound, which has at least one atom other than C, Si, H, O, or N bonded to at least one organic moiety, an organic binding agent, and a solvent or dispersing agent.