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The thermodynamics for regular black holes (RBHs) is considered under therestricted phase space (RPS) formalism. It is shown that the RPS formalismseems to hold for RBHs, however, in order for the extensive thermodynamicparameters to be independent from each other, the RBHs need to be viewed asintermediate thermodynamic states in a larger class of black holes (BHs) whichadmit both regular and singular states. This idea is checked for severalclasses of BHs. In particular, for the electrically charged Hayward class BHs,it is shown that the regular states can either be thermodynamically stable orunstable, depending on the amount of charges carried by the BHs. Thequasinormal frequencies for the Hayward class BHs are also analyzed, and itturns out that, even for the thermodynamically unstable regular states, thedynamic stability still holds, at least under massless scalar perturbations.

Thermodynamics for regular black holes as intermediate thermodynamic states and quasinormal frequencies