Inflationary dynamics of non-canonical scalar field model well-known potentials

Abstract

We present the inflation in the context of warm universe model by contemplating the Dirac-Born-Infeld non-canonical scalar field. We concentrate on warm DBI inflation considering the constant sound of speed. Inflationary theory has ability to provide strong solutions to cosmological puzzles of early universe. We contemplate the Anti-de Sitter warp factor for DBI inflation also, examine viability of the quadratic and quartic potential according to Planck 2018 observational data. We find the slow-roll parameters as well as different inflationary parameters in the presence of well-known potentials. We demonstrate graphical behavior of the $r-N$ , $n_{s}-N$ and $\alpha -N$ for both positive as well as negative potentials. The results of $n_{s}-N$ , $r-N$ and $\alpha -N$ are $0.9525^{+0.0125}_{-0.0125}$ , $-0.00015^{+0.00025}_{-0.00025}$ , $0.03375^{+0.03375}_{-0.03375}$ (for positive quadratic and quartic potential) and $0.98^{+0.03}_{-0.03}$ , $0.05^{+0.05}_{-0.05}$ , $0.0018125^{+0.0018125}_{-0.0018125}$ (for negative quadratic and quartic potential), respectively. Also, we conclude that results of the $r$ , $n_{s}$ and $\alpha $ are consistent with recent Planck data 2018.