Thermodynamics and reentrant phase transition for logarithmic nonlinear charged black holes in massive gravity

Chaloshtary, S. Rajaee; Zangeneh, M. Kord; Hajkhalili, S.; Sheykhi, Ahmad; Zebarjad, S. M.

doi:10.1142/s0218271820500819

Cited by 9 publications

(6 citation statements)

References 38 publications

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“…This is the significant difference that the Van der Waals-like phase transition was usually only recovered in a variety of spherical horizon black hole backgrounds. Subsequently, the abundant thermodynamical behaviors of the black holes in dRGT massive gravity were investigated, such as the reentrant phase transitions, tricritical point [81][82][83][84]. It is also suggested that the phase transition of the dRGT black holes could relate to the Quasinormal mode [85,86] and the holographic entanglement entropy [87].…”

Section: Introductionmentioning

confidence: 99%

Ruppeiner geometry and thermodynamic phase transition of the black hole in massive gravity

Wang

et al. 2021

Eur. Phys. J. C

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The phase transition and thermodynamic geometry of a 4-dimensional AdS topological charged black hole in de Rham, Gabadadze and Tolley (dRGT) massive gravity have been studied. After introducing a normalized thermodynamic scalar curvature, it is speculated that its value is related to the interaction between the underlying black hole molecules if the black hole molecules exist. We show that there does exist a crucial parameter given in terms of the topology, charge, and massive parameters of the black hole, which characterizes the thermodynamic properties of the black hole. It is found that when the parameter is positive, the singlet large black hole phase does not exist for sufficient low temperature and there is a weak repulsive interaction dominating for the small black hole which is similar to the Reissner–Nordström AdS black hole; when the parameter is negative, an additional phase region describing large black holes also implies a dominant repulsive interaction. These constitute the distinguishable features of dRGT massive topological black hole from those of the Reissner–Nordström AdS black hole as well as the Van der Waals fluid system.

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Section: Introductionmentioning

confidence: 99%

Ruppeiner geometry and thermodynamic phase transition of the black hole in massive gravity

Wang

et al. 2021

Eur. Phys. J. C

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“…Also, we fixed the minimum value of the BH mass that occurred at the degenerate horizon. We have also studied the thermal phase transitions and showed, in the linear electrodynamics case, i.e., ǫ = 0, the temperature became negative when r h < r d and therefore, heat capacity became negative and thus we have unstable BH [102][103][104][105]. The same conclusions can be applied to the NED case.…”

Section: Discussionmentioning

confidence: 55%

Nonlinear charged black hole solution in Rastall gravity

Nashed¹

2022

Preprint

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We show that the spherically symmetric black hole (BH) solution of a charged (linear case) field equation of Rastall gravitational theory is not affected by the Rastall parameter and this is consistent with the results presented in the literature. However, when we apply the field equation of Rastall's theory to a special form of nonlinear electrodynamics (NED) source, we derive a novel spherically symmetric BH solution that involves the Rastall parameter. The main source of the appearance of this parameter is the trace part of the NED source, which has a non-vanishing value, unlike the linear charged field equation. We show that the new BH solution is just Anti-de-Sitter Reissner-Nordström spacetime in which the Rastall parameter is absorbed into the cosmological constant. This solution coincides with Reissner-Nordström solution in the GR limit, i.e. when Rastall's parameter vanishing. To gain more insight into this BH, we study the stability using the deviation of geodesic equations to derive the stability condition. Moreover, we explain the thermodynamical properties of this BH and show that it is stable, unlike the linear charged case that has a second-order phase transition. Finally, we prove the validity of the first law of thermodynamics.

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“…The 4-dimensional action of non-abelian logarithmic gauge theory with negative cosmological constant is [32], [33],…”

Section: Ads Black Brane Coupled To Non-abelian Logarithmic Gauge The...mentioning

confidence: 99%

“…x in Eq. ( 22) and variation with respect to Ã(3) ∞ , Green's function can be read as, G (33) xx (ω, 0) =…”

Section: Color Non-abelian DC Conductivitymentioning

confidence: 99%

AdS black brane coupled to non-abelian logarithmic gauge theory and color DC conductivity

Sadeghi¹

2022

Preprint

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In this paper, we consider Einstein-Hilbert gravity in the presence of cosmological constant and non-abelian nonlinear electromagnetic field of logarithmic type which is minimally coupled to gravity. First, black brane solution of this model is introduced and then color non-abelian DC conductivity is calculated for this solution by using AdS/CFT duality. Our result recovers the Yang-Mills model in λ → 0 limit.

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Thermodynamics and reentrant phase transition for logarithmic nonlinear charged black holes in massive gravity

Cited by 9 publications

References 38 publications

Ruppeiner geometry and thermodynamic phase transition of the black hole in massive gravity

Ruppeiner geometry and thermodynamic phase transition of the black hole in massive gravity

Nonlinear charged black hole solution in Rastall gravity

AdS black brane coupled to non-abelian logarithmic gauge theory and color DC conductivity

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