Eternal inflation in a dissipative and radiation environment: Heated demise of eternity

Abstract

Eternal inflation is studied in the context of warm inflation. We focus on different tools to analyze the effects of dissipation and the presence of a thermal radiation bath on the fluctuation-dominated regime, for which the self-reproduction of Hubble regions can take place. The tools we explore are the threshold inflaton field and threshold number of e-folds necessary to establish a self-reproduction regime and the counting of Hubble regions, using generalized conditions for the occurrence of a fluctuation-dominated regime. We obtain the functional dependence of these quantities on the dissipation and temperature. A Sturm-Liouville analysis of the Fokker-Planck equation for the probability of having eternal inflation and an analysis for the probability of having eternal points are performed. We have considered the representative cases of inflation models with monomial potentials of the form of chaotic and hilltop ones. Our results show that warm inflation tends to initially favor the onset of a self-reproduction regime for smaller values of the dissipation. As the dissipation increases, it becomes harder than in cold inflation (i.e., in the absence of dissipation) to achieve a self-reproduction regime for both types of models analyzed. The results are interpreted and explicit analytical expressions are given whenever that is possible.

29 pages, 12 figures. Minimal changes to match published version

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• Warm inflation dissipative effects: predictions and constraints from the Planck data
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• Probability of Warm Inflation in Loop Quantum Cosmology
• Identifying Universality in Warm Inflation
• The role of fluctuation-dissipation dynamics in setting initial conditions for inflation
• Study of warm inflationary models and their parameter estimation from CMB
• Defying eternal inflation in warm inflation with a negative running