Thermodynamic instability of topological black holes in Gauss-Bonnet gravity with a generalized electrodynamics

Hendi, S. H.; Panahiyan, S.

doi:10.1103/physrevd.90.124008

Cited by 25 publications

(38 citation statements)

References 48 publications

(28 reference statements)

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“…Previously, it was seen that obtained metric functions are representing black holes with essential singularity located at r = 0. Geometrical properties of the solutions were investigated in [38,41] and it was shown that these solutions can be interpreted as asymptotically AdS black holes. Therefore, by using the definition of surface gravity and its relation with Hawking temperature we find temperature of these two black holes as [41] …”

Section: Field Equations and Conserved Quantitiesmentioning

confidence: 99%

“…In general, for both Einstein and GB gravities one can find total mass of black hole in form of [38,41] …”

Section: Field Equations and Conserved Quantitiesmentioning

confidence: 99%

“…In order to give more specific details, we use the second approach. Therefore, in case of GB gravity, one can obtain metric function in form of [41] …”

Section: Field Equations and Conserved Quantitiesmentioning

confidence: 99%

“…Investigating the effects of nonlinearity parameter of Eq. (1) coupled to the Einstein, GB and third order Lovelock gravities have been done in [38,39], [40,41] and [42], respectively. In this paper, we are dealing with stringy corrected electrodynamics, and therefore, obtained results are applicable in context of string theory.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, several reasonable papers have been published by considering Eq. (1) as an effective Lagrangian of electrodynamics [29,[37][38][39][40][41][42]. Heisenberg and Euler have shown that quantum corrections lead to nonlinear properties of vacuum [29].…”

Section: Introductionmentioning

confidence: 99%

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Extended phase space of AdS black holes in Einstein–Gauss–Bonnet gravity with a quadratic nonlinear electrodynamics

Hendi

Panahiyan

Momennia

2016

Int. J. Mod. Phys. D

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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 cosmological constant as a thermodynamic pressure to extend phase space. Next, we obtain critical values in case of variation of nonlinearity and Gauss-Bonnet parameters. Although the general thermodynamical behavior of the black hole solutions is the same as usual Van der Waals system, we show that in special case of the nonlinear electromagnetic field, there will be a turning point for the phase diagrams and usual Van der Waals is not observed. This theory of nonlinear electromagnetic field provides two critical horizon radii. We show that this unusual behavior of phase diagrams is due to existence of second critical horizon radius. It will be pointed out that the power of the gravity and nonlinearity of the matter field modify the critical values. We generalize the study by considering the effects of dimensionality on critical values and make comparisons between our models with their special sub classes. In addition, we examine the possibility of the existence of the reentrant phase transitions through two different methods.

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Section: Field Equations and Conserved Quantitiesmentioning

confidence: 99%

“…In general, for both Einstein and GB gravities one can find total mass of black hole in form of [38,41] …”

Section: Field Equations and Conserved Quantitiesmentioning

confidence: 99%

“…In order to give more specific details, we use the second approach. Therefore, in case of GB gravity, one can obtain metric function in form of [41] …”

Section: Field Equations and Conserved Quantitiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Extended phase space of AdS black holes in Einstein–Gauss–Bonnet gravity with a quadratic nonlinear electrodynamics

Hendi

Panahiyan

Momennia

2016

Int. J. Mod. Phys. D

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Non-linear effects on radiation propagation around a charged compact object

Cuzinatto

Melo

Vasconcelos

et al. 2015

Astrophys Space Sci

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The propagation of non-linear electromagnetic waves is carefully analyzed on a curved spacetime created by static spherically symmetric mass and charge distribution. We compute how non-linear electrodynamics affects the geodesic deviation and the redshift of photons propagating near this massive charged object. In the first order approximation, the effects of electromagnetic self-interaction can be distinguished from the usual Reissner-Nordström terms. In the particular case of Euler-Heisenberg effective Lagrangian, we find that these self-interaction effects might be important near extremal compact charged objects.Generalizations of Maxwell electrodynamics have been proposed since it was established and they are motivated by several reasons such as experimental constraints on the eventual photon mass [1-3], classical aspects of vacuum polarization [4,5], electrodynamics in the context of strings and superstrings [6-10], etc. Among the several generalizations, there is a group known as Nonlinear Electrodynamics (NLED) which is characterized by presenting nonlinear field equations. Examples of NLED are Born-Infeld theory [11][12][13][14] and Euler-Heisenberg electrodynamics [4]. The former was proposed to limit the maximum value of the electric field of a point charge [15] and the last arises as an effective action of one-loop QED [16].Since the decade of 1980, several applications of NLED in the context of gravitation were proposed [17][18][19][20][21][22], including applications to cosmology [23][24][25][26][27][28][29] and spherically symmetric solutions of charged Black Holes (BH) [30][31][32][33][34][35][36]. Moreover, generalizations of Reissner-Nordström solution with NLED were studied where stability and thermodynamics properties of the BH were analyzed [37][38][39][40][41][42][43][44][45]. In particular, the geodesic motion of test particles around Born-Infeld BH was studied in Linares et al. [46] and references therein. However, in most of the papers found

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Thermodynamic stability of charged BTZ black holes: ensemble dependency problem and its solution

2015

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Motivated by the wide applications of thermal stability and phase transition, we investigate thermodynamic properties of charged BTZ black holes. We apply the standard method to calculate the heat capacity and the Hessian matrix and find that thermal stability of charged BTZ solutions depends on the choice of ensemble. To overcome this problem, we take into account cosmological constant as a thermodynamical variable. By this modification, we show that the ensemble dependency is eliminated and thermal stability conditions are the same in both ensembles. Then, we generalize our solutions to the case of nonlinear electrodynamics. We show how nonlinear matter field modifies the geometrical behavior of the metric function. We also study phase transition and thermal stability of these black holes in context of both canonical and grand canonical ensembles. We show that by considering the cosmological constant as a thermodynamical variable and modifying the Hessian matrix, the ensemble dependency of thermal stability will be eliminated.

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Thermodynamic instability of topological black holes in Gauss-Bonnet gravity with a generalized electrodynamics

Cited by 25 publications

References 48 publications

Extended phase space of AdS black holes in Einstein–Gauss–Bonnet gravity with a quadratic nonlinear electrodynamics

Extended phase space of AdS black holes in Einstein–Gauss–Bonnet gravity with a quadratic nonlinear electrodynamics

Non-linear effects on radiation propagation around a charged compact object

Thermodynamic stability of charged BTZ black holes: ensemble dependency problem and its solution

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