Abstract
We consider the Hairy black hole of dimensionally continued gravity with power-Yang–Mills magnetic source and Lorentz symmetry violating Bañados, Teitelboim and Zanelli (BTZ) black hole in massive gravity. We utilize the general form of first law of black hole thermodynamics and compute different thermodynamic quantities. Keeping in mind the importance of negative cosmological constant [Formula: see text], we derive corresponding equations of state and discuss the phase transitions which is comparable with chemical Van der Waals fluid. We also find out the critical points and observe that system exhibits first-order small as well as large black holes phase transitions.
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