Thermodynamic geometry of a charged AdS black hole with corrected entropy
In this paper, a charged AdS black hole is considered and exponential corrections on entropy are studied for it. Next, thermodynamic quantities of this black hole, including mass, temperature, heat capacity, as well as pressure and Gibbs free energy, are investigated. Then, the thermodynamic geometry of this black hole is investigated using the geometric methods of Weinhold, Ruppeiner, Quevedo, HPEM and NTG. In addition, the correspondence between singularities of the scalar curvature of these metrics and the black hole phase transition points is investigated. It has been observed that Quevedo (II), HPEM and NTG formalisms provide more information about the phase transition of this black hole compared with Weinhold, Ruppeiner and Quevedo (I) formalisms.
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