Warm-viscous inflation model on the brane in light of Planck data.

In the present work, a warm inflationary Universe model with viscous pressure on the brane in a high-dissipation regime is studied. We derive a condition that is required for this model to be realized in a slow-roll approximation. We also present analytic expressions for the density perturbation and the amplitude of the tensor perturbation in a longitudinal gauge. General expressions of the tensor-to-scalar ratio and the scalar spectral index and its running are obtained. We develop our model using chaotic potential. The characteristics of the model are calculated for two specific cases: (1) when the dissipative parameter Γ and the bulk viscous parameter ζ are constant parameters and (2) with the dissipative parameter as a function of scalar field ϕ and the bulk viscous parameter as a function of radiation-matter mixture energy density ρ. The parameters of the model are restricted by WMAP9 and Planck observational data. [ABSTRACT FROM AUTHOR]