Cosmic inflation from fluctuating baby-Skyrme brane

In this work, we explore the inflationary dynamics induced by small fluctuations on the Skyrme brane, characterized by a time-dependent perturbative function $\tilde{\varphi }$. In the low-energy regime, the model successfully reproduces standard inflation, with a potential term dictated by the Skyrmion at the brane. Gravity localization is achieved at the brane, and the lowest energy scale is established at the asymptotic boundary. The model demonstrates the capability to emulate standard inflation dynamics, resembling ${\tilde{\varphi }}^4$ potential characteristics under certain conditions. At higher energy regions, the behaviour of $\tilde{\varphi }$ is contingent upon the Skyrme term coupling constant $\lambda$, influencing reheating phases. The wave-like nature of fluctuations allows for energy transfer, resulting in a possibly lower reheating temperature. We also discuss the prospect of $\lambda$ changing sign during inflation, presenting a non-standard coupling dependent on the matter field.