Energy and first law of thermodynamics for Born–Infeld–anti-de-Sitter black hole

Wei, Yi-Huan

doi:10.1088/1674-1056/19/9/090404

Cited by 36 publications

(29 citation statements)

References 40 publications

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“…may vary and have contribution to thermodynamical structure of the system [45][46][47][48][49][50][51][52][53][54]. In other words, in case of black holes, the total mass of the black hole is a function of these parameters as extensive parameters.…”

Section: Discussionmentioning

confidence: 99%

A new approach toward geometrical concept of black hole thermodynamics

et al. 2015

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Motivated by the energy representation of Riemannian metric, in this paper we study different approaches toward the geometrical concept of black hole thermodynamics. We investigate thermodynamical Ricci scalar of Weinhold, Ruppeiner and Quevedo metrics and show that their number and location of divergences do not coincide with phase transition points arisen from heat capacity. Next, we introduce a new metric to solve these problems. We show that the denominator of the Ricci scalar of the new metric contains terms which coincide with different types of phase transitions. We elaborate the effectiveness of the new metric and shortcomings of the previous metrics with some examples. Furthermore, we find a characteristic behavior of the new thermodynamical Ricci scalar which enables one to distinguish two types of phase transitions. In addition, we generalize the new metric for the cases of more than two extensive parameters and show that in these cases the divergencies of thermodynamical Ricci scalar coincide with phase transition points of the heat capacity.

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Section: Discussionmentioning

confidence: 99%

A new approach toward geometrical concept of black hole thermodynamics

et al. 2015

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“…where dΣ 2 D−2 = γ mn (y) dy m dy n is a constant curvature transversal section with spherical (k = 1), hyperbolic (k = −1) or planar (k = 0) geometry, whose area is Ω D−2 . First integral of the equations of motion, with the integration constant µ, is common for all Lovelock gravities, 9) and, in the DCG case, it becomes…”

Section: )mentioning

confidence: 99%

“…This process is very similar to the one of the van der Waals liquid-gas transition. Later, by treating the negative cosmological constant as the pressure and the physical volume enclosed by the black hole horizon as its thermodynamical conjugated quantity, and identifying the black hole mass as enthalpy instead of internal energy, the black hole thermodynamic is re-studied in the extended phase space that includes the pressure and volume [3,4,5,6], and the first law agrees with the corresponding Smarr relation [7,8,9]. Further, first attempts to study the phase structure in the pressure-volume, P -V , diagram was made for the charged Reissner-Nördstrom (RN) anti-de Sitter (AdS) black hole with fixed charge and the van der Waalslike phase transition was observed in [10].…”

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confidence: 99%

Thermal phase transitions of dimensionally continued AdS black holes

Kuang

Mišković

2017

Phys. Rev. D

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We study the thermal phase transitions of charged black holes in dimensionally continued gravity in anti-de Sitter space. We find the van der Waals-like phase transition in the temperature-entropy plane of the black holes with spherical horizons in even dimensions, and there is no such phase transition of the black holes with flat and hyperbolic geometries. Near the critical inflection point, the critical exponent is computed and its value does not depend on the dimension. The Maxwell equal area law is checked to be fulfilled in the temperature-entropy diagram for the first order phase transition. In odd dimensions, there are no thermal phase transitions for the black hole with any geometry of the horizon.Comment: 18 pages, 2 figures; introduction extended, references adde

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“…ii) More pragmatically, in the presence of a cosmological constant the first law of black hole thermodynamics becomes inconsistent with the Smarr relation (the scaling argument is no longer valid) unless the variation of Λ is included in the first law [7]. A similar situation occurs, for example, for Born-Infeld black holes, where the variation of the maximal field strength b must be included in the first law for it to be consistent with the corresponding Smarr relation [15][16][17]. iii) Once the variation of Λ is included in the first law, the black hole mass M is identified with enthalpy rather than internal energy [7].…”

Section: Introductionmentioning

confidence: 99%

P − V criticality of charged AdS black holes

Kubizňák

Mann

2012

J. High Energ. Phys.

1,136

1,183

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Treating the cosmological constant as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we reconsider the critical behaviour of charged AdS black holes. We complete the analogy of this system with the liquid-gas system and study its critical point, which occurs at the point of divergence of specific heat at constant pressure. We calculate the critical exponents and show that they coincide with those of the Van der Waals system.

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Energy and first law of thermodynamics for Born–Infeld–anti-de-Sitter black hole

Cited by 36 publications

References 40 publications

A new approach toward geometrical concept of black hole thermodynamics

A new approach toward geometrical concept of black hole thermodynamics

Thermal phase transitions of dimensionally continued AdS black holes

P − V criticality of charged AdS black holes

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