Second order phase transition and thermodynamic geometry in Kerr-AdS black holes

@article{Banerjee2011SecondOP,
  title={Second order phase transition and thermodynamic geometry in Kerr-AdS black holes},
  author={Rabin Banerjee and Sujoy Kumar Modak and S. Samanta},
  journal={Physical Review D},
  year={2011},
  volume={84},
  pages={064024}
}
We discuss a scheme based on Ehrenfest-like equations to exhibit and classify transitions between two phases (with ``smaller'' and ``larger'' masses) of Kerr-AdS black holes. We show that for fixed angular velocity this phase transition is of second order as both Ehrenfest's equations are satisfied. Finally, we make a close connection of the results found from this analysis with those obtained from the thermodynamic state space geometry approach. 

Figures from this paper

Thermodynamics of phase transition in higher dimensional AdS black holes
We investigate the thermodynamics of phase transition for (n + 1) dimensional Reissner Nordstrom (RN)-AdS black holes using a grand canonical ensemble. This phase transition is characterized by a
Generalized Ehrenfest's Equations and phase transition in Black Holes
In this paper, we generalize Ehrenfest's equations to systems having two work terms, i.e. systems with three degrees of freedom. For black holes with two work terms we obtain nine equations instead
Phase transition and Clapeyron equation of black holes in higher dimensional AdS spacetime
Using Maxwell's equal area law, we study the phase transition in higher dimensional anti-de Sitter (AdS) Reissner–Nordström black holes and Kerr black holes in this paper. The coexisting region of
Fractional-order phase transition of charged AdS black holes
Phase Transitions of GUP-Corrected Charged AdS Black Hole
We study the thermodynamic properties and critical behaviors of the topological charged black hole in AdS space under the consideration of the generalized uncertainty principle (GUP). It is found
A unified picture of phase transition: from liquid-vapour systems to AdS black holes
A bstractBased on fundamental concepts of thermodynamics we examine phase transitions in black holes defined in Anti-de Sitter (AdS) spaces. The method is in line with that used a long ago to
A unified thermodynamic picture of Hořava-Lifshitz black hole in arbitrary space time
A bstractIn this paper, we analyze the complete thermodynamic and phase transition phenomena of a black hole solution in Hořava-Lifshitz gravity in arbitrary space time. Nature of phase transition is
Continuous phase transition and critical behaviors of 3D black hole with torsion
We study the phase transition and the critical behavior of the BTZ black hole with torsion obtained in (1 + 2)-dimensional Poincaré gauge theory. According to Ehrenfest’s classification, when the
Ehrenfest’s scheme and microstructure for regular-AdS black hole in the extended phase space
The regular (Bardeen)–anti-de Sitter (AdS) (BAdS) black hole (BH) in the extended phase space is taken as an example for investigating the BH phase transition grade from both macroscopic and
...
...

References

SHOWING 1-10 OF 55 REFERENCES
Thermodynamic phase transitions of Kerr-Newman black holes in de Sitter space
A curious feature of black holes which rotate and/or carry electric charge is that as the rotation and/or charge is increased the black hole undergoes a second-order phase transition in which its
Thermodynamic geometry and phase transitions in Kerr-Newman-AdS black holes
We investigate phase transitions and critical phenomena in Kerr-Newman-Anti de Sitter black holes in the framework of the geometry of their equilibrium thermodynamic state space. The scalar curvature
Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories
We study the thermodynamics of four-dimensional Kerr-Newman-AdS black holes both in the canonical and the grand-canonical ensemble. The stability conditions are investigated, and the complete phase
Charged anti-de Sitter scalar-tensor black holes and their thermodynamic phase structure
In the present paper we numerically construct new charged anti-de Sitter black holes coupled to nonlinear Born-Infeld electrodynamics within a certain class of scalar-tensor theories. The properties
The first law of thermodynamics for Kerr–anti-de Sitter black holes
We obtain expressions for the mass and angular momenta of rotating black holes in anti-de Sitter backgrounds in four, five and higher dimensions. We verify explicitly that our expressions satisfy the
Glassy phase transition and stability in black holes
Black hole thermodynamics, confined to the semi-classical regime, cannot address the thermodynamic stability of a black hole in flat space. Here we show that inclusion of a correction beyond the
THERMODYNAMIC GEOMETRY AND CRITICAL BEHAVIOR OF BLACK HOLES
Based on the observations that there exists an analogy between the Reissner–Nordstrom–Anti-de Sitter (RN–AdS) black holes and the van der Waals–Maxwell liquid-gas system, in which a correspondence of
Semiclassical instabilities of Kerr-anti-de Sitter black holes
We study the thermodynamic stability of the Kerr-anti-de Sitter black hole from the perturbative corrections to the gravitational partition function. The line of critical stability is identified by
From Black Holes to Emergent Gravity
Many inequivalent approaches to study black holes yield identical results. Any meaningful theory of gravity should explain the origin of this property. Here we show that the basic holomorphic modes
...
...