Perturbation spectra in the warm $k$-inflation

Abstract

We investigate the cosmological perturbation theory and calculate the perturbation spectra in the warm $k$-inflation. Unlike the scalar perturbations of $k$-inflation in the cold inflationary scenario, entropy perturbations should be considered in our model. We study how the entropy perturbations affect the evolution of curvature perturbation $\mathcal{R}$ on the comoving hypersurfaces and find the dissipation coefficient $\Gamma$ plays a central role in the entropy perturbations and the evolution equation of $\mathcal{R}$. In the weak dissipation condition, entropy perturbations on the large scale can be neglected such that the primordial spectrum of cosmological perturbations is due only to adiabatic perturbations. Like general warm inflationary models, density fluctuations also mainly originated from the thermal fluctuations of the inflaton field rather than the vacuum fluctuations in our model. Finally, we calculate the perturbation spectra and the tensor-to-scalar ratio, then find the tensor-to-scalar ratio is smaller than that in the $k$-inflation or the general potential-driven cold inflationary models.

arXiv comment7 pages

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Cited by in corpus (12)

• Observational constraints on DBI constant-roll inflation
• Irreversible thermodynamical description of warm inflationary cosmological models
• Dynamic analysis of noncanonical warm inflation
• Warm inflation with non-comoving scalar field and radiation fluid
• Observational Constraints on Two-field Warm Inflation
• Two models unifying warm inflation with dark matter and dark energy
• Non-Gaussianity in the warm k-inflation
• Effect of Dissipation on Warm Chromo-Natural Inflation
• Consistency of a kind of general noncanonical warm inflation
• Non-Gaussianity in a general kind noncanonical warm inflation
• Primordial non-Gaussianity in noncanonical warm inflation with nonminimal derivative coupling
• Dynamics of potential-free warm $\mathbf{k}$-inflation with nonminimal derivative coupling