  We derive the quantum Einstein equations (which are the quantum
generalisation of the Einstein equations of classical gravity) from Bohmian
quantum gravity. Bohmian quantum gravity is a non-classical geometrodynamics
(in the ADM formalism) which describes the time evolution of a 3-geometry and
of a matter field (or other matter degrees of freedom) on a three manifold. The
evolution is determined by a velocity law which is defined by the wave
function. The wave function itself satisfies the Wheeler-DeWitt equation. We
cast the Bohmian dynamics into the form of the Einstein field equations, where
the interesting novelty is a contribution to the energy-momentum tensor that
depends on the quantum potential.
