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Geometrothermodynamics of black holes with a nonlinear source

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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.

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Acknowledgements

This work was partially supported by Conacyt-Mexico, Grant No. A1-S-31269, and by UNAM-DGAPA-PAPIIT, Grant No. 114520.

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  1. Departamento de posgrado, CIIDET, AP752, Querétaro, QRO, 76000, Mexico

    Alberto Sánchez

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  1. Alberto Sánchez
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Correspondence to Alberto Sánchez.

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Sánchez, A. Geometrothermodynamics of black holes with a nonlinear source. Gen Relativ Gravit 53, 71 (2021). https://doi.org/10.1007/s10714-021-02843-x

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