Inflaton field governed universe from NKK theory of gravity: stochastic approach

TL;DR

This paper develops a cosmological model based on 5D Noncompact Kaluza-Klein gravity, analyzing inflaton fluctuations and their evolution, with potential for future observational reconstruction of the Hubble parameter.

Contribution

It introduces a nonperturbative inflaton model within 5D NKK gravity, linking inflaton dynamics to the Hubble parameter and providing a framework for future observational tests.

Findings

Inflaton field slides down quadratic potential during universe evolution.

Inflaton mass is of the order of the Hubble parameter.

Model's free parameter is the Hubble parameter, which can be reconstructed from future data.

Abstract

We study a nonperturbative single field (inflaton) governed cosmological model from a 5D Noncompact Kaluza-Klein (NKK) theory of gravity. The inflaton field fluctuations are estimated for different epochs of the evolution of the universe. We conclude that the inflaton field has been sliding down its (quadratic) potential hill along all the evolution of the universe and a mass of the order of the Hubble parameter. In the model here developed the only free parameter is the Hubble parameter, which could be reconstructed in future from Super Nova Acceleration Probe (SNAP) data.