  Using both the Born-Oppenheimer idea and the de Broglie-Bohm interpretation
of wavefunction we represent in a different way the semiclassical quantum
gravity from the Wheeler-DeWitt equation in an oscillating regime which can
preserve completely the unitary quantum evolution of a matter field at the
expense of a nonlinear gravitational field equation, but has the same
asymptotic limit as the others. We apply the de Broglie-Bohm interpretation to
the nonlinear gravitational field equation to develop a perturbation method to
find the quantum corrections of a matter field to the gravity. The
semiclassical Einstein equation with the quantum corrections is found for a
minimal quantum FRW cosmological model.
