Constraints of anisotropy on warm power-law inflation in light of Planck results

Abstract

In this article, we examine the effects of anisotropy on a model of canonical warm inflation with the power-law potential. The results of this model are compared to Planck satellite observational data. Using a conventional local scalar field in the Bianchi type I metric, the slow-roll conditions and the suitable regions, where the free parameters of the model show a good agreement with Planck results, are investigated in detail. Following the usual calculations for warm inflationary approaches, the early universe in two different dissipative regimes, namely the weak dissipative and the strong dissipative ones, is investigated. In this regard, the slow-roll parameters and their observational indices in both regimes are obtained and finally, it is shown that this model is in good agreement with observations.