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2021

Thermodynamics of Kerr-AdS black holes in the restricted phase space

Gao, Zeyuan, Kong, Xiangqing, Zhao, Liu

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The thermodynamics for Kerr-AdS black hole in four dimensions is revisited using the recently proposed restricted phase space formalism, which includes the central charge $C$ of the dual CFT and the chemical potential $\mu$, but excludes the pressure and the conjugate volume, as thermodynamic variables.

The Euler relation holds automatically, and the first order homogeneity of the mass and the zeroth order homogeneity of the intensive variables are made explicit.
Thermodynamic processes involving each pair of conjugate variables are studied in some detail, with emphasis on the scaling properties of the equations of states.
It turns out that the thermodynamic behavior of the Kerr-AdS black hole is very similar to that of the RN-AdS black hole studied earlier.

Thermodynamics of Kerr-AdS black holes in the restricted phase space · Around

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