Warm inflation driven by complex quintessence field within rastall gravity

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This manuscript is devoted to examining the role of the “complex quintessence field” (CQF) in driving warm inflation (WI) within the Rastall theory of gravity (RTG). Recently, the accelerating cosmic expansion has been described by CQF, which is linked to several other cosmic scenarios. In this approach, we construct the corresponding dynamical equations for inflation using the flat Friedmann–Robertson–Walker (FRW) spacetime. We begin with a fundamental approach of selecting intermediate, logamediate, and power-law models to study how inflation is realized from these models. For each model, we find analytic solutions of the scalar field and corresponding effective potential necessary to produce inflation under slow-roll (SR) conditions. These solutions allow us to develop inflationary observable in the strong dissipative regime, including the SR parameters, e-folding number, scalar/tensor power spectra, scalar spectral index (ns) and its running (αs) and finally tensor to scalar ratio (r). We checked the impact of additional theory parameter λ on the evolutionary trajectories in ns−r and ns−αs planes for the underlying inflationary models. For all three models, it is concluded that CQF-inspired inflation in RTG provides interesting and feasible results which fully satisfy the Planck constraints.