Viscous Warm Inflation: Hamilton-Jacobi formalism

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.

arXiv comment20 pages, 11 figures

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• Tsallis holographic dark energy for inflation
• Warm Tachyon Inflation and Swampland Criteria
• Beta-function formalism for k-essence constant-roll inflation
• Observational constraints on DBI constant-roll inflation
• Brane inflation and Trans-Planckian censorship conjecture
• Holographic warm inflation
• Inflationary Solution of Hamilton Jacobi Equations during Weak Dissipative Regime
• Hamilton-Jacobi analysis of noncanonical inflation in $f(R,T)$ gravity: Constraints from Planck/ACT data, and theoretical bounds