Asymptotically Lifshitz black hole solutions in <i>F</i>(<i>R</i>) gravity

In this paper, we study Joule-Thomson expansion for charged AdS black holes in f (R) gravity. We obtain the inversion temperatures as well as inversion curves, and investigate similarities and differences between van der Waals fluids and charged AdS black holes in f (R) gravity for this expansion. In addition, we determine the position of the inversion point versus different values of the mass M , the charge Q and the parameter b for such black hole. At this point, the Joule-Thomson coefficient µ vanishes, an import feature that we used to obtain the cooling-heating regions by scrutinizing the sign of the µ quantity.Nowadays, an f (R) gravity is one of important class of the modified Einstein's gravity. In general, It is built through adding higher powers of the scalar curvature R, the Riemann and Ricci tensors, or their derivatives to the lagrangian description [1][2][3][4][5]. This kind of gravity mimics successfully the history of universe, especially the current cosmic acceleration, the inflation and structure formation in the early Universe [2,3], various extensions of f(R) gravity theory has been elaborated ranging from three dimensional [6] and asymptotically Lifshitz black hole solutions [7] to F(R) gravity's rainbow model [8].Recently, a special attention has been devoted to the study of the black holes phase transition particularly after the introduction of the notion of the extended phase space via the identification of the cosmological constant with the pressure and its conjugate quantity with thermodynamic volume [9]. In this context, the black hole behaves like Van der Waals fluid [10-12] leading to a remarkable correspondence between the thermal physics of black holes and simple substances [13]. Numerous extensions of these works have been elaborated for rotating and hairy black hole [14,15], high curvature theories of gravity and M-theory [16][17][18][19]. More exotic results as holographic heat engine [20] as well as other technics ranging from the behaviour of the quasi-normal modes [21,22] to AdS/CFT tools [23,24] and chaos structure [25] have consolidated the similarity with the Van der Waals fluid.Meanwhile, a considerable effort has been dedicated to explore the thermodynamics of the AdS black hole in the R + f (R) gravity background with a constant curvature [26] where the essential of thermodynamical quantities like the entropy, heat capacity and the Helmholtz free energy are calculated, then the extended phase space and the critical Van der Waals-like behavior introduced in [26,27] as well as the canonical ensembles in [28]. Here we would like to go further in the thermodynamical investigation and study the Joule-Thomson expansion for the charged-AdS black hole configuration in the f (R) gravity background.More recently, the authors of [29] have investigated the JT expansion for AdS charged black holes with the aim to confront the resulting features with those of Van der Waals fluids. The extension to rotating-AdS black hole [30] and the charged black hole solution in the presence of the ...

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“…Next, thanks to Eq. (7) and Eq. (15), we also illustrates in Fig.2 the isenthalpic curve corresponding to a constant mass in the (T, P )-diagram.…”

Section: Joule-thompson Expansion Of Charged Black Hole In F (R) Gravitymentioning

confidence: 99%

Joule-Thomson Expansion of Reissner-Nordstrom AdS Black Holes in $f(R)$ gravity

Chabab

Moumni

Iraoui³

et al. 2018

LHEP

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“…The metric function for the BTZ black holes in massive gravity is presented in Eqs. (7) and (8) [90]. By substituting Eqs.…”

Section: General Classification Of Motionmentioning

confidence: 99%

“…Unlike the successes of the mentioned theory, some issues such as accelerated expansion of the universe, the existence of dark matter [1], massive gravitons and several other subjects show the necessity of modifying this theory. There are various attempts for modifying GR, such as F(R) gravity [2][3][4][5][6][7], Lovelock gravity [8][9][10][11][12], Horava-Lifshitz gravity [13,14], brane world cosmology [15][16][17], scalar-tensor theories [18][19][20][21][22][23][24][25][26], massive gravity [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44], raina e-mail: hendi@shirazu.ac.ir (corresponding author) b e-mail: tavakkoli@cse.shirazu.ac.ir c e-mail: shahram.panahiyan@uni-jena.de d e-mail: beslampanah@shirazu.ac.ir e e-mail: eva.hackmann@zarm.uni-bremen.de bow gravity [45]…”

Section: Introductionmentioning

confidence: 99%

Simulation of geodesic trajectory of charged BTZ black holes in massive gravity

et al. 2020

Self Cite

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In order to classify and understand structure of the spacetime, investigation of the geodesic motions of massive and massless particles is a key tool. So the geodesic equation is a central equation of gravitating systems and the subject of geodesics in the black hole dictionary attracted much attention. In this paper, we give a full description of geodesic motions in three-dimensional spacetime. We investigate the geodesics near charged BTZ black holes and then generalize our prescriptions to the case of massive gravity. We show that electric charge is a critical parameter for categorizing the geodesic motions of both lightlike and timelike particles. In addition, we classify the type of geodesics based on the particle properties and geometry of spacetime.

show abstract

“…Unlike the successes of the mentioned theory, some issues such as accelerated expansion of the universe, the existence of dark matter [1], massive gravitons and several other subjects show the necessity of modifying this theory. There are various attempts for modifying GR, such as F (R) gravity [2][3][4][5][6][7], Lovelock gravity [8][9][10][11][12], Horava-Lifshitz gravity [13,14], brane world cosmology [15][16][17], scalar-tensor theories [18][19][20][21][22][23][24][25][26], massive gravity [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44], rainbow gravity [45][46][47][48]…”

Section: Introductionmentioning

confidence: 99%

Simulation of geodesic trajectory of charged BTZ black holes in massive gravity

Hendi,

Tavakkoli,

Panahiyan

et al. 2020

Preprint

Self Cite

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Asymptotically Lifshitz black hole solutions in F(R) gravity

Cited by 26 publications

References 80 publications

Joule-Thomson Expansion of Reissner-Nordstrom AdS Black Holes in $f(R)$ gravity

Joule-Thomson Expansion of Reissner-Nordstrom AdS Black Holes in $f(R)$ gravity

Simulation of geodesic trajectory of charged BTZ black holes in massive gravity

Simulation of geodesic trajectory of charged BTZ black holes in massive gravity

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