Stochastic approach of gravitational waves in presence of a decaying cosmological parameter from a 5D vacuum theory of gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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version to be published in Il Nuovo Cimento B

Scientific paper

10.1393/ncb/i2007-10414-7

We develop an 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 $\Lambda (t)$ and we finally illustrate the formalism with an example of a decaying $\Lambda(t)$.

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