Microscopic description of thermodynamic volume in extended black hole thermodynamics

Johnson, Clifford V.; Martin, Victoria L.; Svesko, Andrew

doi:10.1103/physrevd.101.086006

Cited by 30 publications

(31 citation statements)

References 55 publications

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“…It remains to be shown whether similar doubts could arise also for other Superentropic black holes, for example the recently studied charged BTZ black holes [57][58][59][60] have an apparently similar issue. The charged BTZ black hole is a three dimensional electrically charged solution of the Einstein-Maxwell equations [61]…”

Section: Discussionmentioning

confidence: 94%

“…This fascinating result has caused some puzzlement, as the thermodynamic parameters (4.6) are not obtained as an "a → " limit of the conventional parameters, (2.20), nor does it seem possible to obtain one of these black holes by some sort of continuous process. In addition, the idea that the entropy can be unbounded for a fixed volume suggests that superentropic black holes should be somehow unstable, a notion explored (in a different context) by Johnson [57], see also [58,59]. Thus the Superentropic black hole is worthy of further study.…”

Section: Comparison To Ultraspinning Black Holes 41 the Superentropimentioning

confidence: 99%

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Are “Superentropic” black holes superentropic?

Appels

Cuspinera

Gregory

et al. 2020

J. High Energ. Phys.

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We study a critical limit in which asymptotically-AdS black holes develop maximal conical deficits and their horizons become non-compact. When applied to stationary rotating black holes this limit coincides with the "ultraspinning limit" and yields the Superentropic black holes whose entropy was derived recently and found to exceed the maximal possible bound imposed by the Reverse Isoperimetric Inequality [1,2]. To gain more insight into this peculiar result, we study this limit in the context of accelerated AdS black holes that have unequal deficits along the polar axes, hence the maximal deficit need not appear on both poles simultaneously. Surprisingly, we find that in the presence of acceleration, the critical limit becomes smooth, and is obtained simply by taking various upper bounds in the parameter space that we elucidate. The Critical black holes thus obtained have many common features with Superentropic black holes, but are manifestly not superentropic. This raises a concern as to whether Superentropic black holes actually are superentropic 1 . We argue that this may not be so and that the original conclusion is likely attributed to the degeneracy of the resulting first law.Keywords: black hole thermodynamics, accelerated black holes, reverse isoperimetric inequality 1 We use the upper case Superentropic to indicate the specific black hole solution, and lower case superentropic to indicate the property that entropy violates the Reverse Isoperimetric Inequality.

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Section: Discussionmentioning

confidence: 94%

Section: Comparison To Ultraspinning Black Holes 41 the Superentropimentioning

confidence: 99%

Are “Superentropic” black holes superentropic?

Appels

Cuspinera

Gregory

et al. 2020

J. High Energ. Phys.

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“…We have reported on this result elsewhere [64], and here provide additional details and context. While the meaning of thermodynamic volume in the holographic context is understood (it controls the response of the dual field theory to changes in the number of colours and changes in the volume of the space on which the theory is defined [65]), its utility in holography remains rather undeveloped (though see [66][67][68][69][70][71][72] for progress in this direction). Our result may be viewed as an initial step toward developing the utility of thermodynamic volume in holography.…”

Section: Jhep05(2021)226mentioning

confidence: 99%

“…would also be interesting to explore this feature in light of the recently proposed first law of complexity [36]. While the holographic interpretation of thermodynamic volume has been understood for sometime, its utility in this realm has remained comparatively undeveloped (though see [65][66][67][68][69][70][71][72] for progress in this direction). Our results provide one concrete setting where thermodynamic volume appears to play a natural role in holography, and it is our view that this result provides further impetus to investigate in greater detail the role of thermodynamic volume in the holographic context and its relation to complexity.…”

Section: Jhep05(2021)226mentioning

confidence: 99%

Holographic complexity of rotating black holes

Balushi

Hennigar

Kunduri

et al. 2021

J. High Energ. Phys.

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Within the framework of the “complexity equals action” and “complexity equals volume” conjectures, we study the properties of holographic complexity for rotating black holes. We focus on a class of odd-dimensional equal-spinning black holes for which considerable simplification occurs. We study the complexity of formation, uncovering a direct connection between complexity of formation and thermodynamic volume for large black holes. We consider also the growth-rate of complexity, finding that at late-times the rate of growth approaches a constant, but that Lloyd’s bound is generically violated.

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“…They provided two schemes for analyzing the thermodynamic behavior of the charged BTZ black hole. In one case, the charged BTZ black hole is super-entropic [52,53], that is the reverse isoperimetric inequality is violated. While in the other, the reverse isoperimetric inequality is satisfied.…”

Section: Introductionmentioning

confidence: 99%

Diagnosis inspired by the thermodynamic geometry for different thermodynamic schemes of the charged BTZ black hole

Yang

2020

Eur. Phys. J. C

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Due to the asymptotic structure of the black hole solution, there are two different thermodynamic schemes for the charged Banados–Teitelboim–Zanelli (BTZ) black hole. In one scheme, the charged BTZ black hole is super-entropic, while in the other, it is not (the reverse isoperimetric inequality is saturated). In this paper, we investigate the thermodynamic curvature of the charged BTZ black hole in different coordinate spaces. We find that in both schemes, the thermodynamic curvature is always positive, which may be related to the information of repulsive interaction between black hole molecules for the charged BTZ black hole if we accept an empirical relationship between the thermodynamic curvature and interaction of a system. More importantly, we provide a diagnosis for the discrimination of the two schemes from the point of view of the thermodynamics geometry. For the charged BTZ black hole, when the reverse isoperimetric inequality is saturated, the thermodynamic curvature of an extreme black hole tends to be infinity, while when the reverse isoperimetric inequality is violated, the thermodynamic curvature of the extreme black hole goes to a finite value.

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Microscopic description of thermodynamic volume in extended black hole thermodynamics

Cited by 30 publications

References 55 publications

Are “Superentropic” black holes superentropic?

Are “Superentropic” black holes superentropic?

Holographic complexity of rotating black holes

Diagnosis inspired by the thermodynamic geometry for different thermodynamic schemes of the charged BTZ black hole

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