Thermodynamic stability of charged BTZ black holes: ensemble dependency problem and its solution

Hendi, S. H.; Panahiyan, S.; Mamasani, R.

doi:10.1007/s10714-015-1932-2

Cited by 76 publications

(51 citation statements)

References 77 publications

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“…Linearly and nonlinearly charged three dimensional black hole solutions and their thermodynamical properties were investigated in refs. [137,148,149]. In this paper, we generalize our solutions to include massive gravity.…”

Section: Jhep05(2016)029mentioning

confidence: 99%

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

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106

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Motivated by recent developments of BTZ black holes and interesting results of massive gravity, we investigate massive BTZ black holes in the presence of Maxwell and Born-Infeld (BI) electrodynamics. We study geometrical properties such as type of singularity and asymptotical behavior as well as thermodynamic structure of the solutions through canonical ensemble. We show that despite the existence of massive term, obtained solutions are asymptotically (a)dS and have a curvature singularity at the origin. Then, we regard varying cosmological constant and examine the Van der Waals like behavior of the solutions in extended phase space. In addition, we employ geometrical thermodynamic approaches and show that using Weinhold, Ruppeiner and Quevedo metrics leads to existence of ensemble dependency while HPEM metric yields consistent picture. For neutral solutions, it will be shown that generalization to massive gravity leads to the presence of non-zero temperature and heat capacity for vanishing horizon radius. Such behavior is not observed for linearly charged solutions while generalization to nonlinearly one recovers this property.

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Section: Jhep05(2016)029mentioning

confidence: 99%

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

Self Cite

106

View full text Add to dashboard Cite

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“…Recently, in most treatments of black hole thermodynamics, physicists have considered the cosmological constant ( ) as a dynamical variable [34][35][36]. Furthermore, some authors suggested to treat as a thermodynamic variable [37,38], such as thermodynamical pressure [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56]. One of the interesting aspects of black hole thermodynamics is its stability.…”

Section: Introductionmentioning

confidence: 99%

Phase transition of charged Black Holes in Brans–Dicke theory through geometrical thermodynamics

et al. 2016

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In this paper, we take into account black hole solutions of Brans-Dicke-Maxwell theory and investigate their stability and phase transition points. We apply the concept of geometry in thermodynamics to obtain phase transition points and compare its results with those, calculated in the canonical ensemble through heat capacity. We show that these black holes enjoy second order phase transitions. We also show that there is a lower bound for the horizon radius of physical charged black holes in Brans-Dicke theory, which originates from restrictions of positivity of temperature. In addition, we find that employing a specific thermodynamical metric in the context of geometrical thermodynamics yields divergencies for the thermodynamical Ricci scalar in places of the phase transitions. It will be pointed out that due to the characteristic behavior of the thermodynamical Ricci scalar around its divergence points, one is able to distinguish the physical limitation point from the phase transitions. In addition, the free energy of these black holes will be obtained and its behavior will be investigated. It will be shown that the behavior of the free energy in the place where the heat capacity diverges demonstrates second order phase transition characteristics.

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“…In Ref. [116], it was shown that in order to remove existence of ensemble dependency, l(ε) which was inserted for the sake of dimensionless argument, should be replaced by following relation in which positive branch is related to dS spacetime while the opposite is for AdS solutions. Hereafter, we use Eq.…”

Section: Phase Diagramsmentioning

confidence: 99%

Charged BTZ black holes in the context of massive gravity’s rainbow

et al. 2017

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BTZ black holes are excellent laboratories for studying black hole thermodynamics which is a bridge between classical general relativity and quantum nature of gravitation. In addition, threedimensional gravity could have equipped us for exploring some of the ideas behind the two dimensional conformal field theory based on the AdS3/CF T2. Considering the significant interests in these regards, we examine charged BTZ black holes. We consider the system contains massive gravity with energy dependent spacetime to enrich the results. In order to make high curvature (energy) BTZ black holes more realistic, we modify the theory by energy dependent constants. We investigate thermodynamic properties of the solutions by calculating heat capacity and free energy. We also analyze thermal stability and study the possibility of Hawking-Page phase transition. At last, we study geometrical thermodynamics of these black holes and compare the results of various approaches.

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Thermodynamic stability of charged BTZ black holes: ensemble dependency problem and its solution

Cited by 76 publications

References 77 publications

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Phase transition of charged Black Holes in Brans–Dicke theory through geometrical thermodynamics

Charged BTZ black holes in the context of massive gravity’s rainbow

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