# Geometrothermodynamics of black holes with a nonlinear source

@article{Sanchez2021GeometrothermodynamicsOB, title={Geometrothermodynamics of black holes with a nonlinear source}, author={Alberto Rivadulla S'anchez}, journal={General Relativity and Gravitation}, year={2021} }

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…

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## References

SHOWING 1-10 OF 43 REFERENCES

### Quasi-homogeneous black hole thermodynamics

- PhysicsThe European Physical Journal C
- 2019

Although the fundamental equations of ordinary thermodynamic systems are known to correspond to first-degree homogeneous functions, in the case of non-ordinary systems like black holes the…

### Phase transitions in geometrothermodynamics

- Physics
- 2011

Using the formalism of geometrothermodynamics, we investigate the geometric properties of the equilibrium manifold for diverse thermodynamic systems. Starting from Legendre invariant metrics of the…

### P − V criticality of charged AdS black holes

- Physics, Chemistry
- 2012

A bstractTreating the cosmological constant as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we reconsider the critical behaviour of charged AdS black holes. We…

### Homogeneity and thermodynamic identities in geometrothermodynamics

- Mathematics
- 2017

We propose a classification of thermodynamic systems in terms of the homogeneity properties of their fundamental equations. Ordinary systems correspond to homogeneous functions and non-ordinary…

### Higher-dimensional black holes with a conformally invariant Maxwell source

- Physics
- 2007

We consider an action for an Abelian gauge field for which the density is given by a power of the Maxwell Lagrangian. In $d$ spacetime dimensions this action is shown to enjoy conformal invariance if…

### Charged AdS black holes and catastrophic holography

- Physics
- 1999

We compute the properties of a class of charged black holes in anti--de Sitter space-time, in diverse dimensions. These black holes are solutions of consistent Einstein-Maxwell truncations of gauged…

### Extended phase space thermodynamics and P-V criticality of black holes with a nonlinear source

- Physics
- 2013

In this paper, we consider the solutions of Einstein gravity in the presence of a generalized Maxwell theory, namely power Maxwell invariant. First, we investigate the analogy of nonlinear charged…

### Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes

- Physics
- 2013

We consider the thermodynamics of rotating and charged asymptotically de Sitter black holes. Using Hamiltonian perturbation theory techniques, we derive three different first law relations including…