Phase transition of AdS black hole in massive gravity revisited via new prescription

We apply the new thermodynamical method proposed initially by Hendi et al. (Chin Phys C 43(11):113106, 2019) to revisit the phase structure of the AdS black hole in the massive gravity framework. In comparison to the standard thermodynamical method used in the literature (Xu et al. in Phys Rev D 91(12):124033, 2015), we show that this new technical approach can easily reproduce the critical behavior inherent to this black hole configuration and addresses some of the shortcomings of the standard method. We also show the ability of this new perception to find all possible critical points and regions in which phase transitions occur, an impossible task in the standard method.