Viscous Warm Inflation: Hamilton-Jacobi formalism

TL;DR

This paper applies Hamilton-Jacobi formalism to viscous warm inflation, demonstrating its effectiveness in predicting inflationary parameters consistent with observational data, especially for variable dissipation and viscous coefficients.

Contribution

It introduces a Hamilton-Jacobi approach to viscous warm inflation, enabling precise calculation of slow-roll parameters without extra approximations and analyzing different coefficient cases.

Findings

Constant coefficients case incompatible with observations.

Variable coefficients case aligns with Planck data.

Model predicts perturbation parameters consistent with observations.

Abstract

Using Hamilton-Jacobi formalism, The scenario of warm inflation with viscous pressure is considered. The formalism gives a way of computing the slow-rolling parameters without extra approximation, and it is well-known as a powerful method in cold inflation. The model is studied in detail for three different cases of dissipation and bulk viscous pressure coefficients. In the first case where both coefficients are taken as a constant, it is shown that the case could not portray warm inflationary scenario compatible with observational data even it is possible to restrict the model parameters. For other cases, the results shows that the model could properly predicts the perturbation parameters in which they stay in perfect agreement with Planck data. As a further argument, $r-n_s$ and $\alpha_s-n_s$ are drown that show the required result could stand in acceptable area expressing a compatibility with observational data.