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.

中文翻译：

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具有非线性源的黑洞的几何热力学

我们研究具有非线性源的特定黑洞配置的热力学和几何热力学。我们使用质量作为基本方程，由此得出曲率半径必须被视为热力学变量，从而导致平衡空间的扩展。使用几何热力学的形式，我们表明热力学平衡空间的几何性质可用于获得有关热力学相互作用、临界点和相变的信息。我们表明这些结果与从经典黑洞热力学中获得的结果是一致的。