Thermal stability, $$P{-}V$$ criticality and heat engine of charged rotating accelerating black holes

Panah, B. Eslam; Jafarzade, Kh.

doi:10.1007/s10714-022-02904-9

Cited by 17 publications

(6 citation statements)

References 96 publications

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“…Since we look for black hole solutions with a radial elec-tric field, so the gauge potential is given by A 𝜇 = h(r)𝛿 0 𝜇 . Considering the metric (3), one can show that Equation (33) reduces to rh ′′ (r) + 2h ′ (r) = 0, (35) solving Equation (35), one can find h(r) = q r , where q is an integration constant that is related to the electric charge, and the electric field in the (2 + 1)−dimensional spacetime is given by F tr = −F rt = q r 2 , where it is inverse square of r. Now, we should find a suitable metric function to satisfy all components of Equation (32). Considering the obtained h(r), one can show that Equation (32) reduces to…”

Section: Charged Accelerating Btz Black Holesmentioning

confidence: 99%

“…where C(m, k, Λ, 𝛼, q) is a constant which depends m, k, Λ, 𝛼, and q. We should note that the solution (38), satisfy all field equations of Equation (32). It is necessary that the obtained charged accelerating BTZ black hole solution in Equation (38) reduces to known charged BTZ black hole in the Einstein-CIM gravity [69] when ignoring the acceleration parameter.…”

Section: Charged Accelerating Btz Black Holesmentioning

confidence: 99%

“…Considering the charged accelerating black holes, the late-time growth rate of complexity differs from the ordinary charged black holes. [29] The efficiency of heat engine for (an)a (un)charged accelerating non-rotating AdS black hole, [30,31] charged accelerating rotating black hole, [32,33] have been studied. The results showed that these black holes' parameters could influence heat engine efficiency (see refs.…”

Section: Introductionmentioning

confidence: 99%

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Charged Accelerating BTZ Black Holes

Panah

2023

Fortschritte der Physik

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In this paper, general uncharged accelerating BTZ black hole solutions are extracted and studied some of their properties. The analysis shows that spacetime's asymptotic behavior depends on four parameters: the cosmological constant, mass, acceleration, and topological constant. Then, the temperature of these black holes are studied and it is found that the temperature is always positive for AdS spacetime. Next, the study is extended for extracting charged accelerating BTZ black hole solutions in the presence of a nonlinear electrodynamics field known as conformally invariant Maxwell. The findings indicate a coupling between the electrical charge and other quantities of the accelerating BTZ black holes. The asymptotic behavior of charged accelerating BTZ black holes depends on five parameters: the cosmological constant, the electrical charge, mass, the acceleration parameter, and the topological constant. Then, the effects of charge, acceleration parameters, and the topological constant on the root of these black holes are studied. Finally, the temperature of these black holes in AdS spacetime is investigated. For these black holes, the temperature depends on the electrical charge, accelerating parameter, and the cosmological constant. The analysis indicates that the temperature of charged accelerating BTZ AdS black holes is always positive.

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Section: Charged Accelerating Btz Black Holesmentioning

confidence: 99%

Section: Charged Accelerating Btz Black Holesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Charged Accelerating BTZ Black Holes

Panah

2023

Fortschritte der Physik

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“…More research on the PT (for example, the reentrant PT and the triple point PT) of the AdS BH can be found in Refs. [51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68] or the detailed review in Ref. [69].…”

Section: Introduction M87 ⋆mentioning

confidence: 99%

Shadow thermodynamics of the Hayward-AdS black hole*

Luo

Cao

et al. 2023

Chinese Phys. C

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In this paper, the phase structure of the Hayward-AdS black hole (BH) is studied using shadow formalism. It has been found that the shadow radius is a monotonic function of the horizon radius and can therefore play an equivalent role to the horizon radius in characterizing the thermodynamics of Hayward-AdS BH. The thermodynamic phase transition (PT) of the Hayward-AdS BH is investigated with the shadow radius. It is shown that as the magnetic charge increases, the shadow radius becomes larger, while the coexistence temperature becomes lower. The thermal profile of the Hayward-AdS BH is established by combining the temperature diagram and the shadow cast diagram, which shows that for a fixed magnetic charge, the temperature of the Hayward-AdS BH increases with the pressure while the region of the thermal profile decreases with the pressure. In particular, the temperature of the Hayward-AdS BH follows an N-type change trend when it is smaller than the critical temperature. It implies that the BH shadow may be used to investigate the thermodynamics of the Hayward-AdS BH.

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“…In extended phase space, the cosmological constant can be regarded as the pressure of a BH thermal system, i.e., [13,17,18]. The research shows that there could exist some special PTs associated with AdS BHs [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40]. The criticality of charged AdS BHs was studied by Kubiznak et al, and the results showed that there exists a van der Waals (vdW)-like PT and that the charged AdS BH system bears a resemblance to the liquid-gas system [22].…”

Section: Introductionmentioning

confidence: 99%

Effects of a global monopole on the thermodynamic phase transition of a charged AdS black hole*

Luo¹,

Yu²,

Li³

2022

Chinese Phys. C

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We study the dynamical properties of thermodynamic phase transition (PT) of the charged AdS black hole (BH) with global monopole via the Gibbs free energy landscape and reveal the effects of the global monopole on the kinetics of thermodynamic PTs. First, we briefly review the thermodynamics of the charged AdS BH with global monopole. Then, we introduce the Gibbs free energy landscape to investigate the thermodynamic stability of BH states. Because of thermal fluctuations, the small black hole (SBH) state can transit to the large black hole (LBH) state, and vice versa. Moreover, we use the Fokker-Planck equation with the reflecting boundary condition to study the probability evolution of the BH state with and without a global monopole separately. We find that for both the SBH and LBH states, the global monopole could slow down the evolution of the BH state. In addition, we obtain the relationship between the first passage time and the monopole parameter $\eta$. The result shows that as the monopole parameter $\eta$ increases, the mean first passage time will be longer for both the SBH and LBH states.

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Thermal stability, $$P{-}V$$ criticality and heat engine of charged rotating accelerating black holes

Cited by 17 publications

References 96 publications

Charged Accelerating BTZ Black Holes

Charged Accelerating BTZ Black Holes

Shadow thermodynamics of the Hayward-AdS black hole*

Effects of a global monopole on the thermodynamic phase transition of a charged AdS black hole*

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