Abstract
The combined Planck, BICEP/Keck Array and BAO measurements of the scalar spectral indexand the tensor-to-scalar ratio from the cosmic microwave background observations severely constrain orcompletely rule out several models of inflationary potentials. On the other hand, the data seems to favorconcave potentials over convex ones. In this paper, we study preheating and gravitational waves after infla-tion in a large-field, regularized hilltop potential where inflation takes place in the concave plateau. Theinflaton, φ, is coupled to a subdominant scalar field, χ, through a quartic coupling. After inflation ends, φoscillates about the potential minimum and becomes inhomogeneous. The growth of the fluctuation modes,δφkand δχk, on a homogeneous oscillating background is analyzed in linear perturbation theory, revealingthat small modes likely experience broad self-resonance or external parametric resonance. To determine ifthe resonances are sufficiently strong to cause unstable growth of the modes we perform a lattice simula-tion. The lattice simulations demonstrate that, although the initial i nhomogeneities generate a stochasticgravitational wave background that remains below the present observational limit, the fluctuations do notgrow exponentially, and the occupation numbers of δφkand δχkremain close to zero.