Inflation driven by a holographic energy density

Abstract

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, $\alpha$ and $\beta$. 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 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 $\alpha$ and $\beta$ to make this a viable model.

arXiv comment7 pages, 2 figures, references added, minor changes, accepted for publication in EPL

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• Unifying Holographic Inflation with Holographic Dark Energy: a Covariant Approach
• Barrow HDE model for Statefinder diagnostic in FLRW Universe
• Modified cosmology from the thermodynamics of apparent horizon
• Holographic realization from inflation to reheating in generalized entropic cosmology
• Tsallis holographic dark energy for inflation
• Holographic realization of constant roll inflation and dark energy: An unified scenario
• Holographic warm inflation
• Holographic reconstruction of k-essence model with Tsallis and the most generalized Nojiri-Odintsov version of holographic dark energy
• Tsallis holographic inflation in $f(R,T)$ gravity: CMB constraints, reheating, and swampland implications
• Holographic inflation and holographic dark energy from entropy of the anti-de Sitter black hole
• Thermodynamics of the most generalized form of Holographic Dark Energy and some particular cases with Corrected Entropies
• Evolution of perturbations in the model of Tsallis holographic dark energy