Cosmological vacuum decay, irreversible thermodynamics and event horizons

Mathematics – Logic

Scientific paper

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Scientific paper

We propose a new time evolution law for the cosmological `constant' 0264-9381/16/1/011/img1 in a spatially flat (k = 0) Friedmann-Lemaître-Robertson-Walker spacetime. From a thermodynamic model of the vacuum based upon work of Gibbons, Hawking and Davies, we obtain the law 0264-9381/16/1/011/img2 where r is the proper radius of the cosmological event horizon. From the field equations we can deduce a second-order differential equation for 0264-9381/16/1/011/img1, that we solve numerically, showing that the cosmological `constant' problem could be solved phenomenologically. The decay of 0264-9381/16/1/011/img4 takes place during the deflationary era, and has the effect of creating a perfect fluid of strings. Finally, our model suggests a mechanism of destabilization of the de Sitter spacetime to explain the exit from inflation and the matter creation.

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