A method for the production of a cavity filled with a low-density mineral foam includes (i) preparing a cement slurry including Portland cement; ultrafine particles of which the D50 is from 10 to 600 nm; a water reducing agent; a manganese salt; and water; wherein the mass ratio of manganese salts/Portland cement is below 0.014; (ii) adding to the cement slurry obtained after (i) a gas-forming liquid including a gas-forming agent; and a viscosity-modifying agent which is a polymer chosen among anionic bio-based polymer, amphiphilic bio-based polymer, alkali swellable acrylic polymer and mixture thereof; to obtain a foaming slurry; (iii) filling the cavity with the foaming slurry obtained at (ii); (iv) leaving the foaming slurry to expand within the cavity.