Warm-polytropic inflationary universe model

TL;DR

This paper explores warm inflation models using a polytropic gas, deriving key cosmological parameters and solutions under different assumptions for the dissipative parameter, enhancing understanding of early universe dynamics.

Contribution

It introduces a novel warm inflation model with a polytropic gas, providing exact solutions and explicit expressions for cosmological observables in different dissipative scenarios.

Findings

Derived exact solutions for scalar field and Hubble parameter.

Obtained explicit expressions for tensor-scalar ratio, spectral index, and its running.

Analyzed model behavior under constant and field-dependent dissipation.

Abstract

In the present paper we study warm inflationary universe models in the context of a polytropic gas. We derive the characteristics of this model in slow-roll approximation and develop our model in two cases, 1- For a constant dissipative parameter $\Gamma$. 2- $\Gamma$ as a function of scalar field $\phi$. In these cases we will obtain exact solution for the scalar field and Hubble parameter. We will also obtain explicit expressions for the tensor-scalar ratio $R$, scalar spectrum index $n_s$ and its running $\alpha_s$, in slow-roll approximation.