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Leading-order corrections to charged rotating AdS black holes thermodynamics. (English) Zbl 1403.83027

Summary: In this paper, we consider a charged rotating AdS black holes in four dimensions and study the effects of leading-order thermal corrections on the thermodynamics of such system explicitly. The first-order corrected thermodynamical quantities also satisfy the first-law of thermodynamics of the black holes. The holographic duality between the charged rotating AdS black holes and van der Waals fluid is also emphasized through the \(P\)-\(v\) diagram. Finally, we study the effects of the leading-order thermal corrections on the stability of the charged rotating black holes.

MSC:

83C57 Black holes
80A10 Classical and relativistic thermodynamics
83C22 Einstein-Maxwell equations

References:

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