# Geometrical thermodynamics and P–V criticality of the black holes with power-law Maxwell field

@article{Hendi2016GeometricalTA, title={Geometrical thermodynamics and P–V criticality of the black holes with power-law Maxwell field}, author={Seyed Hossein Hendi and Behzad Eslam Panah and S. Panahiyan and M. Talezadeh}, journal={The European Physical Journal C}, year={2016}, volume={77}, pages={1-16} }

We study the thermodynamical structure of Einstein black holes in the presence of power Maxwell invariant nonlinear electrodynamics for two different cases. The behavior of temperature and conditions regarding the stability of these black holes are investigated. Since the language of geometry is an effective method in general relativity, we concentrate on the geometrical thermodynamics to build a phase space for studying thermodynamical properties of these black holes. In addition, taking into…

## 43 Citations

### Thermodynamics and phase transition of topological dS black holes with a nonlinear source

- PhysicsCommunications in Theoretical Physics
- 2021

We discuss black hole solutions of Einstein-Λ gravity in the presence of nonlinear electrodynamics in dS spacetime. Considering the correlation of the thermodynamic quantities respectively…

### Black hole solution and thermal properties in 4D AdS Gauss–Bonnet massive gravity

- PhysicsThe European Physical Journal Plus
- 2022

We consider an Einstein-Gauss-Bonnet massive gravity model in 4 D AdS spacetime to obtain a possible black hole solution and discuss the horizon structure of this black hole. The real roots of the…

### Entropy of higher-dimensional topological dS black holes with nonlinear source

- PhysicsModern Physics Letters A
- 2019

On the basis of the first law of black hole thermodynamics, we propose the concept of effective temperature of de Sitter (dS) black holes and conjecture that the effective temperature should be the…

### Thermal stability, $$P{-}V$$ criticality and heat engine of charged rotating accelerating black holes

- PhysicsGeneral Relativity and Gravitation
- 2022

In this paper, we study thermodynamic features of the charged rotating accelerating black holes in anti-de Sitter spacetime. First, we consider these black holes as the thermodynamic systems and…

### Structure and thermodynamics of charged nonrotating black holes in higher dimensions

- PhysicsPhysical Review D
- 2019

We analyze the structural and thermodynamic properties of D-dimensional (D >= 4), asymptotically flat or anti-de Sitter, electrically charged black hole solutions, resulting from the minimal coupling…

### Charged AdS black holes in Gauss–Bonnet gravity and nonlinear electrodynamics

- PhysicsThe European Physical Journal C
- 2019

New five-dimensional charged AdS black hole solutions are found in Einstein-Gauss-Bonnet gravity and the nonlinear electrodynamics. These solutions include regular black holes as well as extremal…

### Non-linear charged AdS black hole in massive gravity

- PhysicsThe European Physical Journal C
- 2018

In the context of the non-linear electrodynamics and the Einstein-massive gravity, we have obtained a $$4\hbox {D}$$4D non-linear charged AdS black hole solution. Then, we investigated its horizon…

### Nonlinear electrodynamics AdS black hole and related phenomena in the extended thermodynamics

- PhysicsThe European Physical Journal C
- 2018

In this paper, we present the analytic solution for Anti-de Sitter-Nonlinear electrodynamics (AdS-NED) black hole in four dimensions. We study tunneling of vector particles from the AdS-NED black…

### Thermodynamic extended phase space and $$P-V$$ criticality of black holes at Pure Lovelock gravity

- PhysicsThe European Physical Journal C
- 2020

In this work the chemistry of asymptotically AdS black hole, for the charged and uncharged solutions of Pure Lovelock gravity, is discussed. The charged case behaves as a Van der Waals fluid and…

### Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity

- Physics
- 2020

On the basis of the state parameter of de Sitter space-time satisfying the first law of thermodynamics, we can derive some effective thermodynamic quantities. When the temperature of the black hole…

## References

SHOWING 1-10 OF 104 REFERENCES

### P–V criticality and geometrical thermodynamics of black holes with Born–Infeld type nonlinear electrodynamics

- Physics
- 2016

In this paper, we take into account the black-hole solutions of Einstein gravity in the presence of logarithmic and exponential forms of nonlinear electrodynamics. At first, we consider the…

### Extended phase space of AdS Black Holes in Einstein-Gauss-Bonnet gravity with a quadratic nonlinear electrodynamics

- Physics
- 2015

In this paper, we consider quadratic Maxwell invariant as a correction to the Maxwell theory and study thermodynamic behavior of the black holes in Einstein and Gauss-Bonnet gravities. We consider…

### Effects of power-law Maxwell field on the critical phenomena of higher dimensional dilaton black holes

- Physics
- 2016

The effects of power-law Maxwell field on the Van der Waals like phase transition of higher-dimensional dilaton black holes are probed in detail. It is shown that the Smarr relation gains corrections…

### Pressure and volume in the first law of black hole thermodynamics

- Physics
- 2011

The mass of a black hole is interpreted, in terms of thermodynamic potentials, as being the enthalpy, with the pressure given by the cosmological constant. The volume is then defined as being the…

### Thermodynamics of charged rotating dilaton black branes with power-law Maxwell field

- Physics
- 2015

In this paper, we construct a new class of charged rotating dilaton black brane solutions, with a complete set of rotation parameters, which is coupled to a nonlinear Maxwell field. The Lagrangian of…

### Charged black hole solutions in Gauss-Bonnet-massive gravity

- Physics
- 2015

A bstractMotivated by high interest in the close relation between string theory and black hole solutions, in this paper, we take into account the Einstein-Gauss-Bonnet Lagrangian in the context of…

### Einstein-Maxwell-dilaton phantom black holes: Thermodynamics and geometrothermodynamics

- Physics
- 2016

We use the Legendre-invariant formalism of geometrothermodynamics to investigate the geometric properties of the equilibrium space of a spherically symmetric phantom black hole with electric charge…

### Thermodynamical structure of AdS black holes in massive gravity with stringy gauge-gravity corrections

- Physics
- 2015

Motivated by gauge/gravity group in the low energy effective theory of the heterotic string theory and novel aspects of massive gravity in the context of lattice physics, the minimal coupling of…

### Thermodynamic analysis of black hole solutions in gravitating nonlinear electrodynamics

- Physics
- 2013

We perform a general study of the thermodynamic properties of static electrically charged black hole solutions of nonlinear electrodynamics minimally coupled to gravitation in three space dimensions.…