Viscous fluid holographic inflation

E Elizalde,A V Timoshkin

doi:10.1140/epjc/s10052-019-7244-z

Abstract

A model of inflation produced by a viscous fluid is investigated and its compatibility with the holographic principle at the very early universe (as recently formulated for the holographic universe with a holographic cut-off radius) is demonstrated. Specifically, ensuing from the model, the corresponding scale factor and infrared cut-off are analytically calculated, which are taken to be the particle and future event horizon for inflation, respectively. Using them, the energy conservation law, in the holographic point of view, is obtained. In this way, total equivalence of viscous fluid inflation, with the specific cut-off of Nojiri and Odintsov, and holographic inflation is proven.

Highlights

A model of inflation produced by a viscous fluid is investigated and its compatibility with the holographic principle at the very early universe is demonstrated
The origin of the holographic principle is associated with the thermodynamics of black holes and string theory [1,2,3,4]
We develop an investigation of a model of holographic inflation produced by a physical fluid, in which its viscosity plays an important role

Summary

Introduction

The origin of the holographic principle is associated with the thermodynamics of black holes and string theory [1,2,3,4]. The most general holographic dark energy model was proposed by Nojiri and Odintsov [8]. Different versions of the cutoff, corresponding to various generalized holographic dark energies, have been considered in Refs. AdS/CFT duality [22,23,24], and that one should not at all mix these two different approaches to holography Both terms have become kind of standard in the literature but in this paper we use the term holographic inflation in the above defined sense, and not in the one of string theory. For various viscous fluid models, with constant and non-constant equation of state (EoS) parameters, we discuss the corresponding energy conservation law in terms of holographic inflation. We establish the equivalence between our viscous fluid inflation and holographic inflation, within the specific cut-off choice of Nojiri and Odintsov [5]

Holographic inflation

Representation of viscous fluid models in holographic inflation

Hi n k2

Quasi-de Sitter expansion for inflation

Conclusion