Compressibility of rotating black holes

Dolan, Brian P.

doi:10.1103/physrevd.84.127503

Cited by 214 publications

(179 citation statements)

References 18 publications

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“…The negative heat capacity in the unstable region of Fig. 4, and the negative compressibility [20], may be a feature that one must live with, just like the negative heat capacity of asymptotically flat Schwarzschild black holes.…”

Section: The Free Energymentioning

confidence: 98%

Vacuum energy and the latent heat of AdS-Kerr black holes

Dolan

2014

Phys. Rev. D

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Phase transitions for rotating asymptotically anti-de Sitter black holes in four dimensions are described in the P − T plane, in terms of the Hawking temperature and the pressure provided by the cosmological constant. The difference between constant angular momentum and constant angular velocity is highlighted; the former has a second order phase transition while the latter does not. If the angular momentum is fixed there a line of first order phase transitions terminating at a critical point with a second order phase transition and vanishing latent heat, while if the angular velocity is fixed there is a line of first order phase transitions terminating at a critical point with infinite latent heat. For constant angular velocity the analytic form of the phase boundary is determined, latent heats derived and the Clapeyron equation verified.

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Section: The Free Energymentioning

confidence: 98%

Vacuum energy and the latent heat of AdS-Kerr black holes

Dolan

2014

Phys. Rev. D

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“…Taking these considerations seriously, once the black hole pressure and volume are identified, one may proceed to calculate various thermodynamic quantities employing standard thermodynamic machinery. For example, one may study adiabatic compressibility, specific heat at constant pressure, or even the 'speed of sound' associated with the black hole [8][9][10]. Moreover, as noted by Dolan [9], this also opens an interesting possibility of reconsidering the critical behaviour of AdS black holes in an extended phase space, including pressure and volume as thermodynamic variables.…”

Section: Introductionmentioning

confidence: 98%

“…Recently, the idea of including the variation of the cosmological constant Λ in the first law of black hole thermodynamics has attained increasing attention [6][7][8][9][10][11][12]. 1 From a general relativistic point of view, such a variation is a slightly awkward thing to do, as the cosmological constant should be treated as a fixed external parameter of the theory.…”

Section: Introductionmentioning

confidence: 99%

P − V criticality of charged AdS black holes

Kubizňák

Mann

2012

J. High Energ. Phys.

1,123

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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“…Thus, the analogy is problematic since the charge Q is an extensive quantity and Φ is an intensive one in the black hole thermodynamics, while P is an intensive quantity and V is an extensive one in the van der Waals system. The way to solve this problem is by including the variation of the cosmological constant Λ in the first law of black hole thermodynamics [9][10][11][12][13][14][15]. Since the dimension of the cosmological constant over the Newtonian constant Λ/G N is equal to the dimension of pressure, it is natural to identify the cosmological constant as the thermodynamical pressure of the system (G N = = c = k = 1),…”

Section: Introductionmentioning

confidence: 99%

P−Vcriticality in the extended phase space of black holes in massive gravity

2015

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We study the P -V criticality and phase transition in the extended phase space of charged anti-de Sitter black holes in canonical ensemble of ghost-free massive gravity, where the cosmological constant is viewed as a dynamical pressure of the black hole system. We give the generalized thermodynamic first law and the Smarr relation with massive gravity correction. We find that not only when the horizon topology is spherical but also in the Ricci flat or hyperbolic case, there appear the P -V criticality and phase transition up to the combination k+c 2 0 c2m 2 in the four-dimensional case, where k characterizes the horizon curvature and c2m 2 is the coefficient of the second term of massive potential associated with the graviton mass. The positivity of such combination indicate the van der Waals-like phase transition. When the spacetime dimension is larger then four, the Maxwell charge there seems unnecessary for the appearance of critical behavior, but a infinite repulsion effect needed, which can also be realized through negative valued c3m 2 or c4m 2 , which is third or fourth term of massive potential. When c3m 2 is positive, a Hawking-Page like black hole to vacuum phase transition is shown in the five-dimensional chargeless case. For the van der Waals like phase transition in four and five spacetime dimensions, we calculate the critical exponents near critical point and find they are the same as those in the van der Waals liquid-gas system.

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Compressibility of rotating black holes

Cited by 214 publications

References 18 publications

Vacuum energy and the latent heat of AdS-Kerr black holes

Vacuum energy and the latent heat of AdS-Kerr black holes

P − V criticality of charged AdS black holes

P−Vcriticality in the extended phase space of black holes in massive gravity

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