Equação de Fokker-Planck aplicada em inflação quente com efeitos de viscosidade

Abstract

Cosmic inflation is one of the most important paradigms developed in theoretical physics in recent times. Among its successes is the ability to describe a perturbation theory responsible for the formation of the large-scale structures observed today, such as the massive galaxy clusters. However, despite its remarkable predictive power in agreement with observational data, it is not a theory with out significant challenges. For this reason, many physicists are working to refine the theory in order to better address areas that are still not well understood. One such proposal is warm inflation, where thermal effects occurring during inflation significantly alter the dynamics, providing, for example, a natural solution to the smooth transition problem that occurs between the end of inflation and the radiation-dominated era, as well as offering better compatibility with potentials that do not perform well in the standard inflationary scenario. This allows for a much broader description of the early universe. The present work aims to study these perturbations with in the framework of warm inflation, utilizing a recent method in which, instead of a system of stochastic equations, a Fokker-Planck equation is employed to describe the perturbations. With this, we aim to describe the perturbations with viscosity effects and obtain a comprehensive description of the dynamics of the spectrum.