Stability of inflationary solutions driven by a changing dissipative fluid

TL;DR

This paper investigates the stability of inflationary solutions driven by a viscous fluid in cosmic expansion, using the second Lyapunov method to analyze different scenarios involving reheating and black hole decay.

Contribution

It introduces a stability analysis of inflationary solutions with a time-varying viscous fluid using Lyapunov methods, focusing on reheating and black hole decay scenarios.

Findings

De Sitter phase stability depends on fluid viscosity and thermodynamics.

Reheating and black hole decay influence inflationary stability.

Lyapunov method effectively assesses cosmic inflation stability.

Abstract

In this paper the second Lyapunov method is used to study the stability of the de Sitter phase of cosmic expansion when the source of the gravitational field is a viscous fluid. Different inflationary scenarios related with reheating and decay of mini-blackholes into radiation are investigated using an effective fluid described by time--varying thermodynamical quantities.