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

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.

accepted in European Physical Journal C

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• Gravitational Waves generated during inflation from a 5D vacuum theory of gravity in a de Sitter expansion
• Stochastic emergence of inflaton fluctuations in a SdS primordial universe with large-scale repulsive gravity from a 5D vacuum
• Passing to an effective 4D phantom cosmology from 5D vacuum theory of gravity
• Geometrical origin of entropy during inflation from the STM theory of gravity
• Fierz-Pauli equation for massive gravitons from Induced Matter theory of gravity
• Induced inflation from a 5D purely kinetic scalar field formalism on warped product spaces