Volume 128, Number 5, December 2019
|Number of page(s)||5|
|Section||Geophysics, Astronomy and Astrophysics|
|Published online||30 January 2020|
Inflation driven by a holographic energy density
Programa de Física, Universidad del Atlántico - Carrera 30 Número 8-49 Puerto Colombia-Atlántico, Colombia
Received: 11 November 2019
Accepted: 17 December 2019
In this letter we study a model of inflation in which the inflationary regimen comes from a type of holographic energy density. In particular, we consider the Granda-Oliveros proposal for the holographic energy density, which contains two free dimensionless parameters, α and β. This holographic energy density is associated to the so-called Granda-Oliveros infrared cutoff (G-O cutoff). Additionally, since in the inflationary regimen the energy scales are very high, it is necessary to modify the G-O cutoff taking into account a correction due to the ultraviolet cutoff. In this way, we obtain an algebraic equation which implicitly includes the Hubble parameter (as a function of the e-folding number, N) and from this, we calculate the Hubble slow-roll parameters and the values of the inflationary observables: the scalar spectral index of the curvature perturbations and its running, the tensor spectral index and the tensor-to-scalar ratio. Finally, since the values for these inflationary observables are known (Planck 2018 observations), we present constraints on the parameters α and β to make this a viable model.
PACS: 98.80.-k – Cosmology / 98.80.Cq – Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)
© EPLA, 2020
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