Viscous fluid holographic inflation

TL;DR

This paper explores a viscous fluid model of inflation compatible with the holographic principle, analytically deriving key cosmological parameters and demonstrating their equivalence to holographic inflation models.

Contribution

It introduces a viscous fluid inflation model that aligns with the holographic principle and analytically connects it to existing holographic inflation frameworks.

Findings

Analytically derived scale factor and infrared cut-off during inflation.

Established the equivalence between viscous fluid inflation and holographic inflation.

Demonstrated compatibility with the holographic principle at the early universe.

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.