Dilaton black holes coupled to nonlinear electrodynamic field

Sheykhi, Ahmad; Hajkhalili, S.

doi:10.1103/physrevd.89.104019

Cited by 87 publications

(51 citation statements)

References 69 publications

(92 reference statements)

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“…As for future work, it would be interesting to study the rotating black hole solutions. In addition, one may consider other types of nonlinear electrodynamic fields such as the logarithmic or exponential field [46,47].…”

Section: Discussionmentioning

confidence: 99%

Thermodynamics of nonlinearly charged black holes in the Brans–Dicke modified gravity theory

Pakravan

Takook

2018

J Theor Appl Phys

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In this work, the charged black hole solution to the Brans-Dicke gravity theory in the presence of the nonlinear electrodynamics has been investigated. To simplify the field equations, a conformal transformation has been introduced which transforms the Brans-Dicke-Born-Infeld Lagrangian to that of Einstein-dilaton-Born-Infeld theory. A new class of ðn þ 1Þ-dimensional black hole solution has been constructed out as the exact solution to the Brans-Dicke theory in the presence of the Born-Infeld nonlinear electrodynamics. The physical properties of the solutions have been studied. The black hole charge and temperature have been calculated making use of the Gauss's law and the concept of surface gravity, respectively. Also, the black hole mass and entropy have been obtained from geometrical methods. Trough a Smarr-type mass formula as a function of the black hole charge and entropy the black hole temperature and electric potential, as the intensive parameters conjugate to the black hole entropy and charge, have been calculated. The consistency of results of the geometrical and thermodynamical approaches confirms the validity of the first law of black hole thermodynamics for this new black hole solution. Finally, making use of the ensemble canonical method, the local stability or phase transition of the new ðn þ 1Þ-dimensional Brans-Dicke-Born-Infeld black hole solution has been analyzed.

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Section: Discussionmentioning

confidence: 99%

Thermodynamics of nonlinearly charged black holes in the Brans–Dicke modified gravity theory

Pakravan

Takook

2018

J Theor Appl Phys

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“…It is worthwhile to mention that, although in the special case (α −→ 0) the Lagrangian of Ref. [65] reduces to the correspondence Lagrangian of [39,40], it is not consistent with BD theory. Whereas proposed Lagrangian of Eq.…”

Section: Exponential Theorymentioning

confidence: 97%

Nonlinearly charged dilatonic black holes and their Brans–Dicke counterpart: energy dependent spacetime

Hendi

Talezadeh

2016

Gen Relativ Gravit

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Regarding the wide applications of dilaton gravity in the presence of electrodynamics, we introduce a suitable Lagrangian for the coupling of dilaton with gauge field. There are various Lagrangians which show the coupling between scalar fields and electrodynamics with correct special situations. In this paper, taking into account conformal transformation of Brans-Dicke theory with an electrodynamics Lagrangian, we show that how scalar field should couple with electrodynamics in dilaton gravity. In other words, in order to introduce a correct Lagrangian of dilaton gravity, one should check at least two requirements: compatibility with Brans-Dicke theory and appropriate special situations. Finally, we apply the mentioned method to obtain analytical solutions of dilaton-Born-Infeld and Brans-Dicke-Born-Infeld theories with energy dependent spacetime.

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“…Like Born-Infeld nonlinear electromagnetic fields, the other nonlinear electromagnetic fields, such as BI-like electromagnetic fields [36][37][38], logarithmic electromagnetic field [39], powerMaxwell electromagnetic field [40] and exponential electromagnetic field [41], can provide interesting black hole solutions through minimal coupling of gravity to these nonlinear electrodynamics. In the context of dilaton gravity, black hole spacetimes in the presence of nonlinear electrodynamics have been studied from different point of view [42][43][44][45][46][47][48][49][50][51]. In our previous study [52], we considered the 4-dimensional dilaton black strings.…”

Section: Introductionmentioning

confidence: 98%

Nonlinear electrodynamics and thermodynamic geometry of rotating dilaton black branes

2016

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We construct a new class of rotating dilaton solutions in the presence of logarithmic nonlinear electrodynamics. These solutions represent black branes with flat horizon and contain k = [(n − 1)/2] rotation parameters in n-dimensional spacetime where [x] is the integer part of x. We study the causal structure of the spacetime and calculate thermodynamic and conserved quantities and show that these quantities satisfy the first law of thermodynamics on the black brane horizon,Then, we study geometrical approach towards thermodynamics by choosing an appropriate geometrical metric. We show that the singularity of the Ricci scalar coincides exactly with the phase transition points. We observe that our system encounters two types of phase transitions depending on the metric parameters. For the first one the heat capacity is zero and for the second one the heat capacity diverges. In the first kind of phase transition, the brane has a transition from an unstable non-physical to a stable physical state. In the second type of phase transition the brane moves from a stable to an unstable state. Finally, we comment on the dynamical stability of the obtained solutions under perturbations in four dimensions.

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Dilaton black holes coupled to nonlinear electrodynamic field

Cited by 87 publications

References 69 publications

Thermodynamics of nonlinearly charged black holes in the Brans–Dicke modified gravity theory

Thermodynamics of nonlinearly charged black holes in the Brans–Dicke modified gravity theory

Nonlinearly charged dilatonic black holes and their Brans–Dicke counterpart: energy dependent spacetime

Nonlinear electrodynamics and thermodynamic geometry of rotating dilaton black branes

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