Regular Black Hole Models in the Transition from Baryonic Matter to Quark Matter

In this paper, we investigate gravitational collapse scenarios involving baryonic matter transitioning into quark-gluon plasma under extreme astrophysical conditions, focusing on their implications for the formation of regular black holes. Standard gravitational collapse models inevitably predict central singularities, highlighting the limitations of classical general relativity in extreme density regimes. By introducing a physically motivated, inhomogeneous transition rate between baryonic and quark matter, we demonstrate analytically and numerically that it is possible to construct regular black hole solutions featuring a nonsingular de Sitter-like core. We further analyze the observable consequences of these models, particularly emphasizing modifications to the black hole shadow radius, which provide direct observational constraints accessible through Event Horizon Telescope (EHT) measurements.