A unified thermodynamic picture of Hořava-Lifshitz black hole in arbitrary space time

Suresh, J.; Tharanath, R.; Kuriakose, V. C.

doi:10.1007/jhep01(2015)019

Cited by 13 publications

(4 citation statements)

References 72 publications

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“…Theories nonlinear in curvature and/or fields also replicate similar behavior. These include black holes in higher [83,120,[198][199][200][201] and lower dimensions [176,202,203], Lovelock gravity [78,82,89,204,220], nonlinear electrodynamics [84,[87][88][89][90][91][92], Einstein-Yang-Mills gravity [205], black holes with scalar hair [57,202,[206][207][208][209], dyonic black holes [210], f(R) gravity [211], STU black holes [164], quasi-topological gravity [171], conformal gravity [212], Horava-Lifshitz black holes [189,213,214], Poincare gauge gravity [203], Lifshitz gravity [58,221], massive gravity [215][216][217][218][219], and others 28 . Most of these articles obtain the same qualitative phase behavior associated with swallowtai...…”

Section: Future Of Black Hole Chemistrymentioning

confidence: 99%

Black hole chemistry: thermodynamics with Lambda

Kubizňák

Mann

Teo

2017

Class. Quantum Grav.

755

657

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We review recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in its own right. In this approach, the mass of the black hole is no longer regarded as internal energy, rather it is identified with the chemical enthalpy. This leads to an extended dictionary for black hole thermodynamic quantities, in particular a notion of thermodynamic volume emerges for a given black hole spacetime. This volume is conjectured to satisfy the reverse isoperimetric inequalityan inequality imposing a bound on the amount of entropy black hole can carry for a fixed thermodynamic volume. New thermodynamic phase transitions naturally emerge from these identifications. Namely, we show that black holes can be understood from the viewpoint of chemistry, in terms of concepts such as Van der Waals fluids, reentrant phase transitions, and triple points. We also review the recent attempts at extending the AdS/CFT dictionary in this setting, discuss the connections with horizon thermodynamics, applications to Lifshitz spacetimes, and outline possible future directions in this field.

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Section: Future Of Black Hole Chemistrymentioning

confidence: 99%

Black hole chemistry: thermodynamics with Lambda

Kubizňák

Mann

Teo

2017

Class. Quantum Grav.

755

657

View full text Add to dashboard Cite

show abstract

“…This work is the further elaboration of Dolan's work where the critical behaviour of the AdS black holes in the extended phase space was discussed and the analogy with the Van der Waals was found [12]. Based this interesting work, the thermodynamics of various complicate spacetimes were discussed and many significative critical phenomena were found [13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30].…”

Section: Introductionmentioning

confidence: 83%

Modifying horizon thermodynamics by surface tensions

Chen

Zeng

2019

Gen Relativ Gravit

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The modified first laws of thermodynamics at the black hole horizon and the cosmological horizon of the Schwarzschild de Sitter black hole and the apparent horizon of the Friedmann-Robertson-Walker cosmology are derived by the surface tensions, respectively. The corresponding Smarr relations are obeyed. For the black hole, the cosmological constant is first treated as a fixed constant, and then as a variable associated to the pressure. The law at the apparent horizon takes the same form as that at the cosmological horizon, but is different from that at the black hole horizon. The positive temperatures guarantee the appearance of the worked terms in the modified laws at the cosmological and apparent horizons. While they can disappear at the black hole horizon.

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“…For a singularity space-time, Banerjee et al found that the Reissner-Nordström-AdS/Kerr-AdS BH phase transition is the second-order and the main reason that leads to the second-order phase transition is the BH charge/angular momentum [20,21]. Extensive study in this framework for the singularity space-time in various gravity theoretical models shows that the phase transition grade would be different for various BHs, but the BHs' critical behavior is similar to the vdW system [22][23][24][25][26][27][28][29][30][31]. These results are based on the BHs' specific heat diverges at the critical point.…”

Section: Introductionmentioning

confidence: 98%

Ehrenfest’s scheme and microstructure for regular-AdS black hole in the extended phase space

Guo

Liang

2021

Class. Quantum Grav.

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The regular (Bardeen)–anti-de Sitter (AdS) (BAdS) black hole (BH) in the extended phase space is taken as an example for investigating the BH phase transition grade from both macroscopic and microscopic points of view. The equation of state and thermodynamic quantities of this BH are obtained. It is found that the BAdS BH phase space in the extended phase space should be a second-order phase transition near the critical point by verifying the Ehrenfest’s equation, and the possibility of its first-order phase transition can be ruled out by the entropy continuity and the heat capacity mutation. The critical exponents from the microscopic structure are analytically and numerically presented with the Landau continuous phase transition theory by introducing a microscopic order-parameter.

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A unified thermodynamic picture of Hořava-Lifshitz black hole in arbitrary space time

Cited by 13 publications

References 72 publications

Black hole chemistry: thermodynamics with Lambda

Black hole chemistry: thermodynamics with Lambda

Modifying horizon thermodynamics by surface tensions

Ehrenfest’s scheme and microstructure for regular-AdS black hole in the extended phase space

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