Photon orbits and phase transitions in Born-Infeld-dilaton black holes

Li, Haitang; Chen, Yong; Zhang, Shaojun

doi:10.1016/j.nuclphysb.2020.114975

Cited by 17 publications

(8 citation statements)

References 104 publications

(117 reference statements)

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“…Now we are interested in exploring the relations between the shadow radius and phase transitions. According to [73,74,77,78], there is a close connection between black hole shadows and the black hole thermodynamics. Heat capacity is one of the interesting thermodynamic quantities which provides us with information related to thermal stability and phase transition of a thermodynamic system.…”

Section: A Relations Between Shadow Radius and Phase Transitionsmentioning

confidence: 99%

Critical behavior of charged AdS black holes surrounded by quintessence via an alternative phase space

Hendi,

Jafarzade

2020

Preprint

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Variation of the pressure of the bulk, or equivalently variation of the AdS radius (l) leads to variation of the boundary quantities: i) the number of colors N . ii) the volume of the space on which the field theory is formulated (since V ∝ l d−2 ). iii) the CFT charge Q which is related to the bulk charge Q b according to Q = lQ b . So, considering the cosmological constant as a new thermodynamical parameter may give the phase diagram an extra dimension. An alternative interpretation is suggested in [12], where the variation of the pressure in the bulk theory corresponds to vary the volume of the boundary field theory. In this approach, the number of colors is kept fixed, which requires the variation of Newton's constant to compensate the variation of the volume of the boundary field theory. This shows that one cannot employ such an approach (AdS/CFT correspondence) to investigate the extended thermodynamics of black holes.Considering the defined thermodynamic pressure and volume, one can study thermodynamics of black holes in a new framework, sometimes referred to as Black Hole Chemistry [13]. This change of perspective has led to a different concept of known processes and the discovery of a broad range of new phenomena associated with black holes such as van der Waals behavior [9,14], solid/liquid phase transitions [15], triple points [16], reentrant phase transitions [17] and heat engines [11]. Also, using black hole volume, one can study the black hole adiabatic compressibility which has attracted attention in connection with black hole stability [18]. This new perspective has also been successful in describing the thermodynamic structure of black holes in other gravitational theories such as Lovelock gravity [19], nonlinear electrodynamics [20], Einstein-Yang-Mills gravity [21], black holes with scalar hair [22], dyonic black holes [23], f(R) gravity [24], STU black holes [25], quasi topological gravity [26], conformal gravity [27] Poincare gauge gravity [28], Lifshitz gravity [29-31] and massive gravity [32].Since the thermodynamic behavior of black hole is highly affected by the variation of electric charge, an alternative approach for investigating van der Waals like phase transition is proposed [33,34] by considering the electric charge as a thermodynamic variable and fixing the cosmological constant. In this regard, a phase transition between the large and small black holes in the Q − Φ plane is seen. In addition, it is shown that [35] such a suggestion is mathematically problematic and physically unconventional and it is logical to consider the square of the electric charge, Q 2 , as a thermodynamic variable. In Ref. [35], the van der Waals like behavior of charged AdS black hole in Q 2 − Ψ plane with a fixed cosmological constant is studied. It is also obtained the critical exponents which were exactly coincident with those obtained for van der Waals liquid. As a keynote, we should emphasize that unlike the van der Waals liquid the mentioned phase transition occurred for temperature higher than criti...

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Section: A Relations Between Shadow Radius and Phase Transitionsmentioning

confidence: 99%

Critical behavior of charged AdS black holes surrounded by quintessence via an alternative phase space

Hendi,

Jafarzade

2020

Preprint

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“…Based on the case studies in [38,39], it was found that the circular orbit radius of the photon can be a characteristic quantity to reflect the thermodynamic phase structure of a spherically symmetric black hole [40]. Related extensions can also be seen in [41,42]. The image of the black hole makes us think about whether it is possible to use the black hole shadow, which is observable, to reflect the thermodynamics of the black hole.…”

Section: Introductionmentioning

confidence: 99%

Can shadows reflect phase structures of black holes?

Zhang

Guo

2020

Eur. Phys. J. C

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“…During the phase transition, these two parameters change by a finite amount, which serves as order parameters to characterise the black hole phase transition, with a critical exponent 1/2. Originally, this was observed in a charged AdS black holes [48], this correlation between gravity and thermodynamics, via photon orbits, can be seen in different black hole spacetimes, namely, Kerr-AdS [49], Born-Infeld AdS background [50], regular AdS black holes [51], massive gravity [52], Born-Infeld-dilaton black hole [53], fivedimensional Gauss-Bonnet black holes [54] etc. Related studies in other contexts have also appeared in subsequent works [55][56][57].…”

Section: Introductionmentioning

confidence: 99%

Null Geodesics and Thermodynamic Phase Transition of Four-Dimensional Gauss-Bonnet AdS Black Hole

Hegde,

Kumara,

Rizwan

et al. 2020

Preprint

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Modified gravity theories are of great interest in both observational and theoretical studies.In this article we study the correlation between the null geodesics in the background of a fourdimensional Einstein-Maxwell-Gauss-Bonnet AdS black hole, a modification of Einstein gravity, and it's thermodynamic phase transition. We study the phase structure of the black hole, using the coexistence and spinodal curves, to understand the phase transition in a extended phase space. The imprints of this phase transition features are observed in the behaviour of photon orbit radius and minimum impact parameter with respect to the Hawking temperature and pressure. The change in these two quantities during the phase transition serve as order parameter which characterises the critical behaviour. The correlation shows that thermodynamic phase transition can be studied by observing the effects of strong gravitational field and vice versa.

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Photon orbits and phase transitions in Born-Infeld-dilaton black holes

Cited by 17 publications

References 104 publications

Critical behavior of charged AdS black holes surrounded by quintessence via an alternative phase space

Critical behavior of charged AdS black holes surrounded by quintessence via an alternative phase space

Can shadows reflect phase structures of black holes?

Null Geodesics and Thermodynamic Phase Transition of Four-Dimensional Gauss-Bonnet AdS Black Hole

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