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

TL;DR

This paper introduces a stochastic framework to analyze gravitational waves generated during inflation in a 5D vacuum setting, emphasizing the impact of a decaying cosmological parameter on tensor fluctuations.

Contribution

It presents a novel stochastic method for studying inflationary gravitational waves within a 5D vacuum model with a dynamic cosmological parameter.

Findings

Tensor fluctuations depend strongly on the decaying cosmological parameter

The formalism is demonstrated with a specific example of a decaying mbda(t)

Provides insights into gravitational wave behavior in higher-dimensional cosmologies

Abstract

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 $\Lambda(t)$.