Generalized Oppenheimer–Snyder gravitational collapse into regular black holes

Abstract We shall study the formation of a particular class regular black holes (BHs) from gravitational collapse massive star. The inside geometry is described by spatially flat Friedmann–Robertson–Walker (FRW) metric and stellar matter distributed uniformly without any pre-assumption about its equation state. Our model generalization Oppenheimer–Snyder for BHs. have obtained density pressure star applying condition smooth joining metrics at freely falling surface Specifying BHs to Hayward Bardeen cases, we see that polytropic state moreover, radius smaller than certain value, strong energy becomes invalid. Then both BHs, interior apparent event horizons also are as functions proper time At end, constructed new two parametric family jointed smoothly FRW with an arbitrary index.