The invention relates to a method for the production of a shaped body comprising at least the method steps of producing a blank having an open porosity by pressing and treating pourable material in a first heat treatment step comprising or consisting of a metal oxide, infiltrating the blank with an infiltration fluid containing a precursor of the metal oxide, precipitating hydroxide of the metal from the infiltration fluid by treating the blank with a basic solution, forming the metal oxide from the hydroxide by treating the blank in a second heat treatment step, wherein the blank is processed before or after the second heat treatment step to achieve a shape that corresponds to the shaped body.