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The tunneling rate, with exact prefactor, is calculated to first order in\hbar for a closed FRW universe filled with perfect fluid violating the strongenergy condition. The calculations are performed by applying thedilute-instanton approximation on the corresponding Duru-Kleinert pathintegral. It is shown that a closed FRW universe filled with a perfect fluidwith small violation of strong energy condition is more probable to tunnel thanthe same universe with large violation of strong energy condition.Comment: 11 pages, LaTe

TUNNELING IN A COSMOLOGICAL MODEL WITH VIOLATION OF STRONG ENERGY CONDITION