Thermodynamic geometry and thermal stability ofn-dimensional dilaton black holes in the presence of logarithmic nonlinear electrodynamics

2015 ◽  
Vol 92 (12) ◽  
Author(s):  
A. Sheykhi ◽  
F. Naeimipour ◽  
S. M. Zebarjad
Keyword(s):  
Thermal Stability ◽  
Black Holes ◽  
Nonlinear Electrodynamics ◽  
Thermodynamic Geometry ◽  
Dilaton Black Holes

scholarly journals Joule-Thomson Expansion of the Quasitopological Black Holes

2021 ◽  
Vol 9 ◽  
Author(s):  
Fatemeh Naeimipour ◽  
Masoumeh Tavakoli
Keyword(s):  
Thermal Stability ◽  
Black Holes ◽  
Black Hole ◽  
Nonlinear Electrodynamics ◽  
Negative Slope ◽  
Heating Process ◽  
Thermodynamic Quantities ◽  
Stable Range ◽  
Yang Mills ◽  
Black Hole Solutions

In this paper, we investigate the thermal stability and Joule-Thomson expansion of some new quasitopological black hole solutions. We first study the higher-dimensional static quasitopological black hole solutions in the presence of Born-Infeld, exponential, and logarithmic nonlinear electrodynamics. The stable regions of these solutions are independent of the types of the nonlinear electrodynamics. The solutions with horizons relating to the positive constant curvature, k=+1, have a larger region in thermal stability, if we choose positive quasitopological coefficients, μi>0. We also review the power Maxwell quasitopological black hole. We then obtain the five-dimensional Yang-Mills quasitopological black hole solution and compare it with the quasitopological Maxwell solution. For large values of the electric charge, q, and the Yang-Mills charge, e, we showed that the stable range of the Maxwell quasitopological black hole is larger than the Yang-Mills one. This is while thermal stability for small charges has the same behavior for these black holes. Thereafter, we obtain the thermodynamic quantities for these solutions and then study the Joule-Thomson expansion. We consider the temperature changes in an isenthalpic process during this expansion. The obtained results show that the inversion curves can divide the isenthalpic ones into two parts in the inversion pressure, Pi. For P<Pi, a cooling phenomenon with positive slope happens in T−P diagram, while there is a heating process with a negative slope for P>Pi. As the values of the nonlinear parameter, β, the electric and Yang-Mills charges decrease, the temperature goes to zero with a small slope and so the heating phenomena happens slowly.

scholarly journals THERMODYNAMICAL PROPERTIES OF TOPOLOGICAL BORN–INFELD-DILATON BLACK HOLES

2009 ◽  
Vol 18 (01) ◽  
pp. 25-42 ◽  
Author(s):  
AHMAD SHEYKHI
Keyword(s):  
Black Holes ◽  
Analytic Solution ◽  
Canonical Ensemble ◽  
Nonlinear Electrodynamics ◽  
Positive Zero ◽  
De Sitter ◽  
Asymptotically Flat ◽  
Negative Constant ◽  
Curvature Hypersurface ◽  
Dilaton Black Holes

We examine the (n + 1)-dimensional (n ≥ 3) action in which gravity is coupled to the Born–Infeld nonlinear electrodynamic and a dilaton field. We construct a new (n + 1)-dimensional analytic solution of this theory in the presence of Liouville-type dilaton potentials. These solutions, which describe charged topological dilaton black holes with nonlinear electrodynamics, have unusual asymptotics. They are neither asymptotically flat nor (anti)-de Sitter. The event horizons of these black holes can be an (n - 1)-dimensional positive, zero or negative constant curvature hypersurface. We also analyze the thermodynamics and stability of these solutions and disclose the effect of the dilaton and Born–Infeld fields on the thermal stability in the canonical ensemble.

Extended phase space and thermodynamic geometry of topological Born–Infeld-dilaton black holes

2016 ◽  
Vol 25 (06) ◽  
pp. 1650062 ◽  
Author(s):  
A. Sheykhi ◽  
S. Hajkhalili
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Canonical Ensemble ◽  
Nonlinear Electrodynamics ◽  
Dilaton Field ◽  
Extended Phase ◽  
Thermodynamic Geometry ◽  
Transition Points ◽  
The Stability ◽  
Grand Canonical

We consider an [Formula: see text]-dimensional topological black holes of Einstein-dilaton gravity in the presence of Born–Infeld nonlinear electrodynamics. We investigate the thermal stability in the grand canonical ensemble and show that depending on the values of the parameters, these types of black holes can experience an instable phase and with changing of the metric parameters, the stability can be influenced. Also, we study the phase transition of these black holes via thermodynamic geometry approach and show that two types of phase transition can be occurred. Finally, we extend thermodynamical space by considering dilaton field as an extensive thermodynamic parameter and check the phase transition points.

scholarly journals Asymptotically (A)dS dilaton black holes with nonlinear electrodynamics

2018 ◽  
Vol 27 (07) ◽  
pp. 1850075 ◽  
Author(s):  
S. Hajkhalili ◽  
A. Sheykhi
Keyword(s):  
Black Holes ◽  
Electric Field ◽  
Gauge Field ◽  
Causal Structure ◽  
Nonlinear Electrodynamics ◽  
Thermodynamic Quantities ◽  
Dilaton Field ◽  
Maximum Value ◽  
Nonlinear Gauge ◽  
Dilaton Black Holes

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 (BI), Logarithmic (LN) and Exponential nonlinear (EN) electrodynamics. All these solutions are asymptotically (A)dS and in the linear regime reduce to the Einstein–Maxwell-dilaton (EMd) black holes in (A)dS 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. We also calculate conserved and thermodynamic quantities of the obtained solutions. 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 behavior 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 [Formula: see text]. The maximum value of the electric field increases with increasing the nonlinear parameter [Formula: see text] or decreasing the dilaton coupling [Formula: see text] and is shifted to the singularity in the absence of either dilaton field ([Formula: see text]) or nonlinear gauge field ([Formula: see text]).

scholarly journals Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton black holes

2015 ◽  
Vol 92 (6) ◽  
Author(s):  
S. H. Hendi ◽  
A. Sheykhi ◽  
S. Panahiyan ◽  
B. Eslam Panah
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Thermodynamic Geometry ◽  
Dilaton Black Holes
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