k-Essence Inflation Evading Swampland Conjectures and Inflationary Parameters

In this paper, we study the inflationary scenario in realm of k-essence model and swampland conjectures. Taking into account three models Chaplygin gas, such as generalized, modified, generalized cosmic gas models, discuss equation state (EoS) parameter ω, slow roll parameters (ϵ(ϕ),η(ϕ)), curvature perturbation (Ps), tensor to scalar ratio (r), spectral index (ns). As regards model, coupling function a field L(ϕ) is used. We investigate conjecture then find value ζ(ϕ), i.e., bound second for these by unifying k-essence. plot EoS plane r−ns ζ(ϕ)−ϕ, which determine that values ω<−1 each r, are r<0.0094,r≤0.0065,r≤0.0067, ranges ns [0.934,0.999],[0.9,0.999],[0.9,0.992] respectively, compare their compatibility with Planck data from 2018. Furthermore, ζ(ϕ)≤0.992,ζ(ϕ)≤0.964,ζ(ϕ)≤0.964 modified respectively.