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 Λ, 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.

中文翻译：

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改进的毛状黑洞和BTZ黑洞的热力学性质

我们认为具有幂-杨-米尔斯磁源和洛伦兹对称性的维度连续引力的毛状黑洞违反了大质量引力中的巴尼亚多斯、泰特尔博伊姆和扎内利 (BTZ) 黑洞。我们利用黑洞热力学第一定律的一般形式并计算不同的热力学量。牢记负宇宙常数的重要性Λ，我们推导了相应的状态方程，并讨论了与化学范德华流体相当的相变。我们还找出了临界点，并观察到系统表现出一阶小黑洞和大黑洞相变。