Inflation via logarithmic entropy-corrected holographic dark energy model

TL;DR

This paper investigates an inflation model based on logarithmic entropy-corrected holographic dark energy, analyzing its spectral properties and observational constraints compared to traditional holographic dark energy models.

Contribution

It introduces a logarithmic entropy correction to the holographic dark energy model and compares inflationary predictions with observational data, highlighting differences in the primordial spectrum.

Findings

The LECHDE model produces a redder scalar power spectrum than the HDE model.

Observational data constrains the reheating temperature and Hubble parameter within the LECHDE framework.

The model's parameters are linked to holographic dark energy and logarithmic correction terms.

Abstract

We study the inflation via logarithmic entropy-corrected holographic dark energy LECHDE model with future event horizon, particle horizon and Hubble horizon cut-offs, and compare the results with those of obtained in the study of inflation by holographic dark energy HDE model. In comparison, the spectrum of primordial scalar power spectrum in the LECHDE model becomes redder than the spectrum in HDE model. Moreover, the consistency with the observational data in LECHDE model of inflation, constrains the reheating temperature and Hubble parameter by one parameter of holographic dark energy and two new parameters of logarithmic corrections.