Black hole chemistry: thermodynamics with Lambda

Kubizňák, David; Mann, Robert B.; Teo, Mae

doi:10.1088/1361-6382/aa5c69

Cited by 717 publications

(695 citation statements)

References 297 publications

(753 reference statements)

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“…First, while we have shown that the theory admits a Schwarzschild-like VSSS solutions, an interesting open question is whether the assumption on staticity can be relaxed; that is, does the Birkhoff theorem work for this theory, similar to Lovelock and quasitopological gravities [26,27,39]? Second, it should be possible to study black hole solutions which are asymptotic to AdS and study their extended thermodynamics [40]. Coupling the theory to Maxwell or scalar fields [41] could lead to further examples of new, novel phase transitions such as the recently discovered superfluid-like transition [42].…”

Section: Discussionmentioning

confidence: 99%

Generalized quasitopological gravity

2017

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We construct the most general, to cubic order in curvature, theory of gravity whose (most general) static spherically symmetric vacuum solutions are fully described by a single field equation. The theory possess the following remarkable properties: i) it has a well-defined Einstein gravity limit ii) it admits 'Schwarzschild-like' solutions characterized by a single metric function iii) on maximally symmetric backgrounds it propagates the same degrees of freedom as Einstein's gravity iv) Lovelock and quasi-topological gravities, as well as the recently developed Einsteinian cubic gravity ArXiv:1607.06463 in four dimensions, are recovered as special cases. We perform a brief analysis of asymptotically flat black holes in this theory and study their thermodynamics.

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Section: Discussionmentioning

confidence: 99%

Generalized quasitopological gravity

2017

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“…Owing to the pressure-volume contribution, the first law of thermodynamics is extended to have a P V term [56]. This considerably affects the thermal phase of the black hole, and various phenomena have already been investigated, such as Van der Waals fluids, re-entrant phase transitions, and holographic heat engines [57][58][59][60][61][62][63]. A study on the growth of the horizon area in the Schwarzschild-de Sitter black hole was recently reported [64].…”

Section: Jhep11(2017)129mentioning

confidence: 99%

Thermodynamics with pressure and volume under charged particle absorption

Gwak

2017

J. High Energ. Phys.

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Abstract:We investigate the variation of the charged anti-de Sitter black hole under charged particle absorption by considering thermodynamic volume. When the energy of the particle is considered to contribute to the internal energy of the black hole, the variation exactly corresponds to the prediction of the first law of thermodynamics. Nevertheless, we find the decrease of the Bekenstein-Hawking entropy for extremal and near-extremal black holes under the absorption, which is an irreversible process. This violation of the second law of thermodynamics is only found when considering thermodynamic volume. We test the weak cosmic censorship conjecture affected by the violation. Fortunately, the conjecture is still valid, but extremal and near-extremal black holes do not change their configurations when any particle enters the black hole. This result is quite different from the case in which thermodynamic volume is not considered.

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“…Furthermore, the pressure P r is well defined for BTZ black holes, since they are embedded in AdS spacetime. This term has occurred in earlier work on such black holes [25][26][27][28]. Now we will analyze the corrections to the entropy of a BTZ black hole due to thermal fluctuations [30,31].…”

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Quantum fluctuations from thermal fluctuations in Jacobson formalism

et al. 2017

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In the Jacobson formalism general relativity is obtained from thermodynamics. This is done by using the Bekenstein-Hawking entropy-area relation. However, as a black hole gets smaller, its temperature will increase. This will cause the thermal fluctuations to also increase, and these will in turn correct the Bekenstein-Hawking entropy-area relation. Furthermore, with the reduction in the size of the black hole, quantum effects will also start to dominate. Just as the general relativity can be obtained from thermodynamics in the Jacobson formalism, we propose that the quantum fluctuations to the geometry can be obtained from thermal fluctuations.The entropy of a black hole is equal to the quarter of the area of its horizon in natural units [1,2]. This observation establishes a connection between the thermodynamics and the geometry of spacetime. This entropy associated with a black hole is also the maximum entropy that can be associated with any object of the same volume [3,4]. It is interesting to observe that this maximum entropy of a region of space scales with its area and not with its volume [5]. In fact, it is this observation that has motivated the holographic principle [6,7]. Even though the holographic principle is a very important principle in physics, it is expected that this holographic principle will get modified near the Planck scale due to quantum fluctuations [8,9]. This can also be observed from the fact that the relation between the entropy and area of a black hole is expected to get modified due to quantum fluctuations. The leading order correction to the relation between the area and entropy of a black hole is a logarithmic correction in almost all approaches to quantum gravity. In a e-mail: salwams@ksu.edu.sa particular, such logarithmic corrections have been obtained using non-perturbative quantum gravity [11], the Cardy formula [12], matter fields surrounding a black hole [13][14][15], string theory [16][17][18][19], dilatonic black holes [20] the partition function of a black hole [21], and the generalized uncertainty principle [10,22]. Even though the form of the corrections from various approaches to quantum gravity are logarithmic corrections, the coefficient of such a logarithmic correction is different for all these approaches to quantum gravity.It may be noted that such logarithmic corrections can also be obtained by considering the effects of thermal fluctuations on the entropy of a black hole [29][30][31]. Now it is well known that in the Jacobson formalism, spacetime emerges from thermodynamics [23], in that general relativity can be deduced from the Bekenstein-Hawking entropy-area relation combined with the first law of thermodynamics. Thus, the correction to the Bekenstein-Hawking entropy-area relation would generate corrections to the structure of spacetime. Furthermore, as the black hole becomes smaller due to hawking radiation, its temperature would increases, and this in turn would increase the contribution coming from the thermal corrections. However, as the black ho...

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Black hole chemistry: thermodynamics with Lambda

Cited by 717 publications

References 297 publications

Generalized quasitopological gravity

Generalized quasitopological gravity

Thermodynamics with pressure and volume under charged particle absorption

Quantum fluctuations from thermal fluctuations in Jacobson formalism

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