The exact solution approach to warm inflation

TL;DR

This paper introduces an exact solution method for warm inflation, enabling analysis across various modified cosmological models, and derives perturbation spectra relevant for early universe studies.

Contribution

It presents a novel exact solution approach for warm inflation that generalizes existing frameworks and applies to modified cosmological scenarios.

Findings

Derived perturbation spectra for cosmological and tensor perturbations.

Applied method to warm inflation in Tsallis entropy modified universe.

Showed the approach's relation to Hamilton-Jacobi formalism.

Abstract

The theory of cosmic inflation has received a great amount of deserved attention in recent years due to it's stunning predictions about the early universe. Alongside the usual cold inflation paradigm, warm inflation has garnered a huge amount of interest in modern inflationary studies. It's peculiar features and specifically different predictions from cold inflation have led to a substantial amount of literature about it. Various modified cosmological scenarios have also been studied in the warm inflationary regime. In this work, we introduce the exact solution approach for warm inflation. This approach allows one to directly study warm inflationary regime in a variety of modified cosmological scenarios. We begin by outlining our method and show that it generalizes the modified Friedmann approach of Del Campo , and reduces to the well known Hamilton-Jacobi formalism for inflation in particular limits. We also find the perturbation spectra for cosmological and tensor perturbations in the early universe, and then apply our method to study warm inflation in a Tsallis entropy modified Friedmann universe. We end our paper with some concluding remarks on the domain of applicability of our work.