Regular evaporating black holes with stable cores

A feature shared by many regular black hole spacetimes is the occurrence of a Cauchy horizon. It then commonly believed that this renders geometry unstable against perturbations through mass-inflation effect. In work, we perform first dynamical study effect taking into account mass-loss due to Hawking radiation. shown time-dependence background leads two novel types late-time behavior whose properties are entirely determined flux. The class attractor-behavior operative for holes Hayward and renormalization group improved type characterized square Weyl curvature growing as $v^6$ at asymptotically late times. This singularity inaccessible radially free-falling observer though. second realized Reissner-Nordstr{\"o}m Bardeen type. case scalars remain finite $v\rightarrow\infty$. Thus flux has profound on instability, either weakening significantly or even expelling it entirely.