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We provide an inhomogeneous solution concerning the dynamics of a real selfinteracting scalar field minimally coupled to gravity in a region of theconfiguration space where it performs a slow rolling on a plateau of itspotential. During the inhomogeneous de Sitter phase the scalar field dominantterm is a function of the spatial coordinates only. This solution specializednearby the FLRW model allows a classical origin for the inhomogeneousperturbations spectrum.Comment: 9 pages, no figures, to appear on Mod.Phys.Lett.

INHOMOGENEOUS de SITTER SOLUTION WITH SCALAR FIELD AND PERTURBATIONS SPECTRUM