Semiclassical Gravity and Large Scale Structure

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The possible cosmological effects of primordial fluctuation corrections to the evolution equation of matter obtained from the Wheeler--De Witt equation are explored. In particular, both the metric and a scalar matter field are expanded around their homogeneous values and the corrections induced on the scalar field fluctuation spectrum are perturbatively estimated. Finally, results of a preliminary numerical simulation to investigate the effects on large--scale structure formation are presented.
Major changes, one figure added, several points clarified. The figure can be obtained by e-mail writing to bertoni@astbo1.bo.cnr.it

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