Tsallis holographic dark energy for inflation

Abstract

The application of holographic principle in very early time is studied. The consideration of the principle in the late-time evolution will be a good motivation to study its role at the time of inflation. Since the length scale is expected to be small during inflation, the resulted energy density form the holographic principle is expected to be large enough to drive inflation. The entropy of the system is the main part of the holographic principle, in which modifying entropy will leads to a modified energy density. Here, instead of the original entropy, we are going to apply a modified entropy, known as Tsallis entropy which includes quantum corrections. The length scale is assumed to be GO length scale. Finding an analytical solution for the model, the slow-roll parameters, scalar spectral index, and tensor-to-scalar ratio are calculated. Comparing the result, with Planck $r-n_s$ diagram, we could find a parametric space for the constants of the model. Then, a correspondence between the holographic dark energy and the scalar field is constructed, and the outcome potentials are investigated.

7 pages, 4 figures

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• Topological and optical signatures of modified black-hole entropies
• 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
• Implementation of cosmological bounce inflation with Nojiri-Odintsov generalized holographic dark fluid
• Holographic dark energy in a coasting cosmology
• Impact of the Infrared Cutoff on Structure Formation in Tsallis Holographic Dark Energy