Phase transition and thermodynamic geometry of topological dilaton black holes in gravitating logarithmic nonlinear electrodynamics

In this paper, we construct a new class of solutions for five dimensional third order quasitopological black holes coupled to a power-law Maxwell nonlinear electrodynamics. To have real solutions, we should establish condition µ < − λ 2 3 and to have finite solutions at infinity, the parameter of power-law Maxwell theory "s" should obey 1 2 < s ≤ 2. Power-law Maxwell lagrangian is successful to set conformal invariance in higher dimensions. Also, this theory can reduce the divergence of the electrical field at the origin that is caused in linear Maxwell theory. As the value of parameter "s" increases, this divergence reduces more. In asymptotically anti-de sitter spacetimes, these obtained solutions lead to a black hole with two horizons for small values of s and q. Also, solutions for s = 2 have different behaviors with respect to the ones for other values of s. For negative and small values of parameter µ, these solutions can describe a black hole with two horizons. An other important tip is that this black hole has thermal stability just for anti-de sitter solutions if its temperature is positive.

show abstract

“…Eq. (36) shows that the total mass m is linearly related to U . On the other hand, U is proportional to A t according to the relation (30).…”

Section: Thermodynamics Of the Solutionsmentioning

confidence: 99%

Third order quasitopological black hole with a power-law Maxwell nonlinear source

et al. 2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…where the Lagrangian of the logarithmic nonlinear electrodynamics coupled to the dilaton field is chosen in the following form [48,49] …”

Section: Rotating Black Branesmentioning

confidence: 99%

“…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

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…is the potential for Φ and L(F, Φ) is the Lagrangian of nonlinear electrodynamics coupled to the dilaton field given by [20][21][22]…”

Section: Action and Lagrangianmentioning

confidence: 99%

Asymptotically (A)dS dilaton black holes with nonlinear electrodynamics

Hajkhalili

Sheykhi

2018

Int. J. Mod. Phys. D

Self Cite

View full text Add to dashboard Cite

It is well-known that with an appropriate combination of three Liouville-type dilaton potentials, one can construct charged dilaton black holes in an (anti)-de Sitter [(A)dS] spaces in the presence of linear Maxwell field. However, asymptotically (A)dS dilaton black holes coupled to nonlinear gauge field have not been found. In this paper, we construct, for the first time, three new classes of dilaton black hole solutions in the presence of three types of nonlinear electrodynamics, namely Born-Infeld, Logarithmic and Exponential nonlinear electrodynamics. All these solutions are asymptotically (A)dS and in the linear regime reduce to the Einstein-Maxwell-dilaton black holes in AdS spaces. We investigate physical properties and the causal structure, as well as asymptotic behavior of the obtained solutions, and show that depending on the values of the metric parameters, the singularity can be covered by various horizons. Interestingly enough, we find that the coupling of dilaton field and nonlinear gauge field in the background of (A)dS spaces leads to a strange behaviour for the electric field. We observe that the electric field is zero at singularity and increases smoothly until reaches a maximum value, then it decreases smoothly until goes to zero as r → ∞. The maximum value of the electric field increases with increasing the nonlinear parameter β or decreasing the dilaton coupling α and is shifted to the singularity in the absence of either dilaton field (α = 0) or nonlinear gauge field (β → ∞).

show abstract

Phase transition and thermodynamic geometry of topological dilaton black holes in gravitating logarithmic nonlinear electrodynamics

Cited by 61 publications

References 61 publications

Third order quasitopological black hole with a power-law Maxwell nonlinear source

Third order quasitopological black hole with a power-law Maxwell nonlinear source

Nonlinear electrodynamics and thermodynamic geometry of rotating dilaton black branes

Asymptotically (A)dS dilaton black holes with nonlinear electrodynamics

Contact Info

Product

Resources

About