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We derive non-perturbative relations between the expectation value of theinvariant element in a homogeneous and isotropic state and the quantumgravitationally induced pressure and energy density. By exploiting previouslyobtained bounds for the maximum possible growth of perturbative corrections toa locally de Sitter background we show that the two loop result dominates allhigher orders. We also show that the quantum gravitational slowing of inflationbecomes non-perturbatively strong earlier than previously expected.Comment: 13 pages, LaTeX 2 epsilo

Quantum gravitationally induced stress tensor during inflation