More insight into microscopic properties of RN-AdS black hole surrounded by quintessence via an alternative extended phase space

Chabab, M.; Moumni, H. El; Iraoui, S.; Masmar, K.; Zhizeh, S.

doi:10.1142/s0219887818501712

Cited by 51 publications

(26 citation statements)

References 54 publications

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“…This yielded the first insight into black hole microstructure. This approach has since been generalized to other black hole systems [50][51][52][53][54][55][56][57][58].…”

mentioning

confidence: 99%

Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes

Wei¹,

Liu²,

Mann³

2019

Phys. Rev. D

126

113

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We present a novel approach for probing the microstructure of a thermodynamic system that combines thermodynamic phase transitions with the Ruppeiner scalar curvature. Originally considered for van der Waals fluids and charged black holes [Phys. Rev. Lett. 123, 071103 (2019)], we extend and generalize our approach to higher-dimensional charged AdS black holes. Beginning with thermodynamic fluctuations, we construct the line element of the Ruppeiner geometry and obtain a universal formula for the scalar curvature R. We first review the thermodynamics of a van der Waals fluid and calculate the coexistence and spinodal curves. From this we are able to clearly display the phase diagram. Notwithstanding the invalidity of the equation of state in the coexistence phase regions, we find that the scalar curvature is always negative for the van der Waals fluid, indicating that attractive interactions dominate amongst the fluid microstructures. Along the coexistence curve, the scalar curvature R decreases with temperature, and goes to negative infinity at a critical temperature. We then numerically study the critical phenomena associated with the scalar curvature, and find that the critical exponent is 2, and that R(1 −T ) 2 C v ≈ 1/8, whereT and C v are the respective reduced temperature and heat capacity. We next consider four-dimensional charged AdS black holes. Vanishing of the heat capacity at constant volume yields a divergent scalar curvature. In order to extract the corresponding information, we define a new scalar curvature that has behaviour similar to that of a van der Waals fluid. We analytically confirm that at the critical point of the small/large black hole phase transition, the scalar curvature has a critical exponent 2, and R(1 −T ) 2 C v = 1/8, the same as that of a van der Waals fluid. However we also find a significant distinction: the scalar curvature can be positive for the small charged AdS black hole, implying that repulsive interactions dominate among the black hole microstructures. We then generalize our study to higher-dimensional charged AdS black holes, and investigate the influence of the dimensionality on the black hole microstructures and the scalar curvature. Our novel approach provides a universal way for probing the microstructure of charged AdS black holes from a geometric construction.

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“…This yielded the first insight into black hole microstructure. This approach has since been generalized to other black hole systems [50][51][52][53][54][55][56][57][58].…”

mentioning

confidence: 99%

Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes

Wei¹,

Liu²,

Mann³

2019

Phys. Rev. D

126

113

View full text Add to dashboard Cite

show abstract

“…Under these assumptions and thanks to the Hawking temperature in Eq. (20), the black hole equation of state reads as,…”

Section: Four Dimensional Charged Black Holesmentioning

confidence: 99%

“…We recall the standard equation of state for such charged black holes which is given by inverting Eq. (20) as…”

Section: General Higher Dimensional Black Holesmentioning

confidence: 99%

“…In this framework, the cosmological constant is regarded as thermodynamic pressure and the black hole mass is identified to the enthalpy. Within these peculiar developments, a beautiful and deep analogy between AdS black holes and van der Waals liquid-gas system has been revealed [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] opening a new window towards our understanding of strong gravity and black holes physics.…”

Section: Introductionmentioning

confidence: 99%

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Phase transition of AdS black hole in massive gravity revisited via new prescription

et al. 2020

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We apply the new thermodynamical method proposed initially by Hindi. et al [1] to revisit the phase structure of the AdS black hole in the massive gravity framework. In comparison to the standard thermodynamical method used in literature [2], we show that this new technical approach can easily reproduce the critical behavior inherent to this black hole configuration and addresses some of the shortcomings of the standard method. We also show the ability of this new perception to find all possible critical points and regions in which phase transitions occur, an impossible task in the standard method.

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“…In this regard, any attempt associated with enlightening this tiny magnitude, however dominant energy, is welcome. In particular, the black holes surrounded by DE have received considerable emphasis and their thermodynamics have been intensively investigated [24,25]. More details on properties of the black holes in quintessential fields can be found in [26,27,28,29,30,31,32,33,34,35,36,37].…”

Section: Introductionmentioning

confidence: 99%

Dark energy effects on charged and rotating black holes

et al. 2019

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Using canonical typicality method, we reconsider the study of dark energy effects on four dimensional black holes. Concretely, we investigate the associated influences on the spectrum of various black hole backgrounds including the charged and the rotating ones. For such black hole solutions, we first elaborate analytically the corresponding radiation spectrum, the Hawking temperature and the dark information. Then, we discuss and analyze the corresponding findings. This work, recovering the results of the Schwarzschield black hole, confirms that dark energy can be considered as a cooling system surrounding the black holes providing a colder radiation and a slower Hawking radiation process.

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More insight into microscopic properties of RN-AdS black hole surrounded by quintessence via an alternative extended phase space

Cited by 51 publications

References 54 publications

Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes

Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes

Phase transition of AdS black hole in massive gravity revisited via new prescription

Dark energy effects on charged and rotating black holes

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