Abstract

We first calculate the heat capacities of the nonlinear electrodynamics (NED) black hole for fixed mass and electric charge, and the electric capacitances for fixed mass and entropy. Then, we study the properties of the Ruppeiner thermodynamic geometry of the NED black hole. Lastly, some discussions on the thermal stability of the NED black hole and the implication to the flatness of its Ruppeiner thermodynamic geometry are given.

Highlights

  • The thermodynamics of black holes are established on the basis of the definitions of the entropy and temperature of black hole [1,2,3,4]

  • We study the thermodynamic properties and the properties of thermodynamic geometry of the regular nonlinear electrodynamics (NED) black hole

  • Some thermodynamic properties of the thermodynamic system may be studied by the thermodynamic geometry method [6,7,8]

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Summary

Introduction

The thermodynamics of black holes are established on the basis of the definitions of the entropy and temperature of black hole [1,2,3,4]. Whether the entropy of a black hole satisfies the entropy area law will depend on the adopted gravity theory. The properties of the thermodynamic geometries of the black hole have been widely studied [10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38]. We discuss some problems on the thermodynamic properties of the NED black hole

Thermodynamic Properties of NED Black Hole
Thermodynamic Geometry of NED Black Hole
Discussions
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