Charged rotating dilaton black strings with logarithmic nonlinear source

Sheykhi, Ahmad; Naeimipour, F.; Zebarjad, S. M.

doi:10.1007/s10714-016-2034-5

Cited by 6 publications

(8 citation statements)

References 47 publications

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“…Further, the obtained thermodynamic and conserved quantities of the present paper such as electric field, temperature, angular momentum, electric potential, and Smarr formula are more comprehensive and valid in all higher dimensions. Clearly, for n = 4 they restore the corresponding relations in [52]. It is worth mentioning that although the form of higher dimensional Lagrangian and metric is more complicated, but, we shall successfully find the solutions analytically.…”

Section: Introductionmentioning

confidence: 53%

“…It is worth mentioning that although the form of higher dimensional Lagrangian and metric is more complicated, but, we shall successfully find the solutions analytically. In addition, one of the main purpose of the present paper is to study GTD of the rotating dilaton black branes, which is one of the most interesting subjects in studying black holes physics, while in [52] we did not study GTD at all. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

“…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. In this paper, we would like to extend the study on the logarithmic nonlinear electrodynamics, by exploring the geometrical approach towards thermodynamics of rotating black branes with complete set of rotation parameters in the framework of dilaton gravity.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we would like to extend the study on the logarithmic nonlinear electrodynamics, by exploring the geometrical approach towards thermodynamics of rotating black branes with complete set of rotation parameters in the framework of dilaton gravity. This paper differs from [52] in that in the present paper, we study the rotating dilaton black branes with k = [(n − 1)/2] rotation parameters in n-dimensional spacetime and in the presence of logarithmic nonlinear electrodynamics while in [52], we constructed the solutions of the 4-dimensional dilaton black strings of this theory with one rotation parameter. Thus the present solution is the generalization of the previous four dimensional solution.…”

Section: Introductionmentioning

confidence: 99%

“…Thus the present solution is the generalization of the previous four dimensional solution. Besides, the Lagrangian in [52] is a special case of the present Lagrangian and can be obtained by choosing n = 4. Further, the obtained thermodynamic and conserved quantities of the present paper such as electric field, temperature, angular momentum, electric potential, and Smarr formula are more comprehensive and valid in all higher dimensions.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionmentioning

confidence: 53%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinear electrodynamics and thermodynamic geometry of rotating dilaton black branes

2016

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Thermal aspects, quasi-normal modes and phase transitions of black hole in STV gravity

Ali,

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et al. 2025

Physics of the Dark Universe

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Quasitopological magnetic brane coupled to nonlinear electrodynamics

et al. 2019

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In this paper, we are eager to construct a new class of (n + 1)-dimensional static magnetic brane solutions in quasi-topological gravity coupled to nonlinear electrodynamics such as exponential and logarithmic forms. The solutions of this magnetic brane are horizonless and have no curvature. For ρ near r+, the solution f (ρ) is dependent to the values of parameters q and n and for larger ρ, it depends on the coefficients of Love-Lock and quasi-topological gravities λ, µ and c. The obtained solutions also have a conic singularity at r = 0 with a deficit angle that is only dependent to the parameters q, n and β. We should remind that the two forms of nonlinear electrodynamics theory have similar behaviors on the obtained solutions. At last, by using the counterterm method, we obtain conserved quantities such as mass and electric charge. The value of the electric charge for this static magnetic brane is obtained zero.

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Charged rotating dilaton black strings with logarithmic nonlinear source

Cited by 6 publications

References 47 publications

Nonlinear electrodynamics and thermodynamic geometry of rotating dilaton black branes

Nonlinear electrodynamics and thermodynamic geometry of rotating dilaton black branes

Thermal aspects, quasi-normal modes and phase transitions of black hole in STV gravity

Quasitopological magnetic brane coupled to nonlinear electrodynamics

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