Stochastic equations for gravity

The Langevin equations governing stochastic quantization of gravity are established. These equations hold true, independently of the value of the torsion. They are covariant under the BRS symmetry associated to local diffeomorphisms and Lorentz transformations. The method determines simultaneously the Langevin equations of the diffeomorphisms and Lorentz ghosts, and of the classical vielbein and spin connection.