QUANTUM GRAVITATIONALLY INDUCED STRESS TENSOR DURING INFLATION

We derive non-perturbative relations between the expectation value of the invariant element in a homogeneous and isotropic state and the qua ntum gravitationally induced pressure and energy density. By exploitin g previously obtained bounds for the maximum possible growth of pertur bative corrections to a locally de Sitter background we show that the two loop result dominates all higher orders. We also show that the qua ntum gravitational slowing of inflation becomes non-perturbatively str ong earlier than previously expected.