Abstract
In this paper, we study the effects of thermal fluctuations on thermodynamics of charged rotating and accelerating anti-de Sitter black hole. We first derive exact expressions of thermodynamic quantities such as entropy, Hawking temperature and angular velocity for slowly accelerating black hole. We then compute Smarr–Gibbs–Dehum relation and thermodynamical volume in extended phase space. To discuss the impact of quantum fluctuations, we evaluate leading-order correction terms to entropy which modify other thermodynamical equations of state. Finally, we calculate specific heat to examine the local stability of this black hole. It is found that the logarithmic corrections originated from thermal fluctuations induce instability to small black holes.
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