Geometrothermodynamics of black holes with a nonlinear source

Abstract

We study thermodynamics and geometrothermodynamics of a particular black hole configuration with a nonlinear source. We use the mass as fundamental equation, from which it follows that the curvature radius must be considered as a thermodynamic variable, leading to an extended equilibrium space. Using the formalism of geometrothermodynamics, we show that the geometric properties of the thermodynamic equilibrium space can be used to obtain information about thermodynamic interaction, critical points and phase transitions. We show that these results are compatible with the results obtained from classical black hole thermodynamics.

14 pages, 30 figures

References in corpus (8)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Geometrothermodynamics
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Phase transitions in geometrothermodynamics
• Quasi-homogeneous black hole thermodynamics
• Magnetic black holes with higher-order curvature and gauge corrections in even dimensions
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Cited by in corpus (1)

• Restricted Phase Space Thermodynamics of Charged Static and Charged Rotating Black Holes in $f(R)$ Gravity