Non-singular cosmologies matching regular black holes

Abstract

We construct a new non-singular cosmological model matched to a Minkowski-core regular black hole by means of a modified Oppenheimer–Snyder framework. Its dynamics in both dust-only and scalar-field scenarios is studied and compared with that of two other non-singular models as well as the classical standard cosmology. The results show that, although all three non-singular cosmologies share identical late-time behavior and allow for a natural embedding of inflation in the scalar-field setting, they exhibit qualitatively distinct non-singular features at very early times. For the new cosmology specifically, we also investigate the scenarios of other cosmological fluids and, more generally, of multiple coexisting fluids. This cosmological model is found to manifest an intriguing symmetry between its asymptotic past and future: without a cosmological constant both limits are asymptotically Minkowski, whereas with a positive one both are asymptotically de Sitter. Furthermore, a dynamical stability analysis reveals that the asymptotic-past state of this model is a robust attractor, thereby requiring no extreme fine-tuning of the initial conditions.