Thermodynamic instability of topological black holes with nonlinear source

Hendi, S. H.; Momennia, Mehrab

doi:10.1140/epjc/s10052-015-3283-2

Cited by 30 publications

(28 citation statements)

References 96 publications

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“…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%

“…where in order to find temperature of Einstein gravity, it is sufficient to set α ′ = 0 [38]. Due to the fact that solutions are asymptotically AdS, in order to find entropy of these two gravities, one can use Gibbs-Duhem relation.…”

Section: Field Equations and Conserved Quantitiesmentioning

confidence: 99%

“…where in order to find entropy related to Einstein gravity, one should set GB parameter to zero [38]. Generally, as one can see, the topological structure of spacetime modifies the amount of contribution of GB parameter, for the GB gravity.…”

Section: Field Equations and Conserved Quantitiesmentioning

confidence: 99%

“…Considering this fact and equation of Gibbs free energy, the thermodynamic behavior and phase diagrams of GB and Einstein gravities in case of flat horizon are same. In addition, it was shown that [38,41] obtained conserved and thermodynamic quantities satisfy the first law of thermodynamics with the following form…”

Section: Field Equations and Conserved Quantitiesmentioning

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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“…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%

Section: Field Equations and Conserved Quantitiesmentioning

confidence: 99%

Section: Field Equations and Conserved Quantitiesmentioning

confidence: 99%

Section: Field Equations and Conserved Quantitiesmentioning

confidence: 99%

See 2 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

Self Cite

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“…Third, in order to find experimental result for nonlinear theories one should take into account only small degrees of nonlinearity. Therefore, one can build another nonlinear theory of electromagnetic field [111][112][113][114][115][116]. The BI-type Lagrangians (20) and (26) for the large values of β (β is nonlinearity parameter) tend to the following nonlinear Lagrangian…”

Section: Nonlinearity As a Correctionmentioning

confidence: 99%

Three dimensional nonlinear magnetic AdS solutions through topological defects

et al. 2015

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Inspired by large applications of topological defects in describing different phenomena in physics, and considering the importance of three dimensional solutions in AdS/CFT correspondence, in this paper we obtain magnetic anti-de Sitter solutions of nonlinear electromagnetic fields. We take into account three classes of nonlinear electrodynamic models; first two classes are the well-known BornInfeld like models including logarithmic and exponential forms and third class is known as the power Maxwell invariant nonlinear electrodynamics. We investigate the effects of these nonlinear sources on three dimensional magnetic solutions. We show that these asymptotical AdS solutions do not have any curvature singularity and horizon. We also generalize the static metric to the case of rotating solutions and find that the value of the electric charge depends on the rotation parameter. Finally, we consider the quadratic Maxwell invariant as a correction of Maxwell theory and we investigate the effects of nonlinearity as a correction. We study the behavior of the deficit angle in presence of these theories of nonlinearity and compare them with each other. We also show that some cases with negative deficit angle exists which are representing objects with different geometrical structure. We also show that in case of the static only magnetic field exists whereas by boosting the metric to rotating one, electric field appears too.

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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 instability of topological black holes with nonlinear source

Cited by 30 publications

References 96 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

Three dimensional nonlinear magnetic AdS solutions through topological defects

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

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