Mariano Anabitarte

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

Abstract.We study a non-perturbative single field (inflaton) governed cosmological model from a 5D non-compact 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 the whole evolution of the universe and a mass is involved 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 the future from Super Nova Acceleration Probe (SNAP) data.

Metric fluctuations and their evolution during inflation

Abstract.We discuss the evolution of the fluctuations in a symmetric

Dirac equation for massive neutrinos in a Schwarzschild–de Sitter spacetime from a 5D vacuum

\phi_{\mathrm {c}}

Scale-invariant scalar metric fluctuations during inflation: non-perturbative formalism from a 5D vacuum

-exponential potential which provides a power-law expansion during inflation using both the gauge-invariant field

Mass density of the Earth from a gravito-electromagnetic 5D vacuum

\Phi

Inflaton field fluctuations from gauge-invariant metric fluctuations during inflation

and the Sasaki-Mukhanov field.

Dirac equation for massive neutrinos in a non-rotating SdS black hole from a 5D vacuum

Abstract Starting from a Dirac equation for massless neutrino in a 5D Ricci-flat background metric, we obtain the effective 4D equation for massive neutrino in a Schwarzschild–de Sitter (SdS) background metric from an extended SdS 5D Ricci-flat metric. We use the fact that the spin connection is defined to an accuracy of a vector, so that the covariant derivative of the spinor field is strongly dependent of the background geometry. We show that the mass of the neutrino can be induced from the extra space-like dimension.

Particles and gravitons creation after inflation from a 5D vacuum

We extend to 5D an approach of a 4D non-perturbative formalism to study scalar metric fluctuations of a 5D Riemann-flat de Sitter background metric. In contrast with the results obtained in 4D, the spectrum of cosmological scalar metric fluctuations during inflation can be scale invariant and the background inflaton field can take sub-Planckian values.

Dark energy and large-scales solitonic back-reaction behavior in power-law inflation

We calculate the mass density of the Earth using a Gravito-Electro-Magnetic theory on an extended 5D Schwarzschild-de Sitter metric, in which we define the vacuum. Our results are in very good agreement with that of the Dziewonski-Anderson model.

Inflationary expansion of the universe with variable timescale

The evolution of the inflaton field fluctuations from gauge-invariant metric fluctuations is discused. In particular, the case of a symmetric