We develop a stochastic approach to study gravitational waves produced during the inflationary epoch under the presence of a decaying cosmological parameter, on a 5D geometrical background which is Riemann flat We obtain that the squared tensor metric fluctuations depend strongly on the cosmological parameter A(i) and we finally illustrate the formalism with an example of a decaying A(t) PACS 04.. 20. Jb - Exact solutions PACS 11.10.Kk - Field theories in dimensions other than four. PACS 98.80. Cq - Paiticle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc ).
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