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An attempt is made to go beyond the standard semi-classical approximation forgravity in the Born-Oppenheimer decomposition of the wave-function inminisuperspace. New terms are included which correspond to quantumgravitational fluctuations on the background metric. Their existence rendersthe definition of the semi-classical limit rather delicate and can lead to theavoidance of the singularities the classical theory predicts in cosmology andin the gravitational collapse of compact objects.Comment: LaTeX, 15 pages, no figure

ON GRAVITATIONAL FLUCTUATIONS AND THE SEMICLASSICAL LIMIT IN MINISUPERSPACE MODELS