# Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories

@article{Caldarelli1999ThermodynamicsOK, title={Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories}, author={Marco M. Caldarelli and Guido Cognola and Dietmar Klemm}, journal={Classical and Quantum Gravity}, year={1999}, volume={17}, pages={399-420} }

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 diagrams are obtained, which include the Hawking-Page phase transition in the grand-canonical ensemble. In the canonical case, one has a first-order transition between small and large black holes, which disappears for a sufficiently large electric charge or angular momentum. This disappearance…

## 743 Citations

### The Thermodynamic potentials of Kerr - AdS black holes and their CFT duals

- Physics
- 1999

String or M-theory in the background of Kerr-AdS black holes is thought to be dual to the large N limit of certain conformal field theories on a rotating sphere at finite temperature. The five…

### The Thermodynamical Behaviors of Kerr—Newman AdS Black Holes

- Physics
- 2013

We reconsider the study of critical behaviors of Kerr—Newman Anti-de Sitter (AdS) black holes in four dimensions. The study is made in terms of the moduli space parameterized by the charge Q and the…

### Critical phenomena in the extended phase space of Kerr-Newman-AdS black holes

- Physics
- 2016

Treating the cosmological constant as a thermodynamic pressure, we investigate the critical behavior of a Kerr-Newman-AdS black hole system. The critical points for the van der Waals like phase…

### Thermodynamics of a d -dimensional charged rotating black brane and the AdS/CFT correspondence

- Physics
- 2003

We compute the Euclidean actions of a d-dimensional charged rotating black brane both in the canonical and the grand-canonical ensemble through the use of the counterterms renormalization method, and…

### Reduced thermodynamics and an exact phase transition of five-dimensional Kerr-AdS black holes with equal spin parameters

- PhysicsPhysical Review D
- 2019

Multispinning higher dimensional Kerr-AdS black holes admit the stable small-large black hole phase transition of van der Waals type. In this paper, we study the exact critical phenomena and phase…

### A NEAR HORIZON CFT DUAL FOR KERR–NEWMAN AdS

- Physics
- 2011

We show that the near horizon regime of a Kerr–Newman AdS (KNAdS) black hole, given by its two-dimensional analogue a la Robinson and Wilczek (Phys. Rev. Lett.95, 011303 (2005)), is asymptotically…

### Thermodynamic geometry and phase transitions in Kerr-Newman-AdS black holes

- Physics
- 2010

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…

### Topology of black hole thermodynamics in Gauss-Bonnet gravity

- PhysicsPhysical Review D
- 2022

Thermodynamics of black holes in anti de Sitter (AdS) spacetimes typically contains critical points in the phase diagram, some of which correspond to the ﬁrst order transition ending in a second…

### On the thermodynamic geometry and critical phenomena of AdS black holes

- Physics
- 2010

In this paper, we study various aspects of the equilibrium thermodynamic state space geometry of AdS black holes. We first examine the Reissner-Nordstrom-AdS (RN-AdS) and the Kerr-AdS black holes. In…

### Thermodynamics of Charged Rotating Dilaton Black Branes Coupled to Logarithmic Nonlinear Electrodynamics

- Physics
- 2016

We construct a new class of charged rotating black brane solutions in the presence of logarithmic nonlinear electrodynamics with complete set of the rotation parameters in arbitrary dimensions. The…

## References

SHOWING 1-10 OF 49 REFERENCES

### Holography, thermodynamics, and fluctuations of charged AdS black holes

- Physics
- 1999

The physical properties of Reissner-Nordstrom black holes in (n11)-dimensional anti-de Sitter spacetime are related, by a holographic map, to the physics of a class of n-dimensional field theories…

### Phases of R-charged black holes, spinning branes and strongly coupled gauge theories

- Physics
- 1999

We study the thermodynamic stability of charged black holes in gauged supergravity theories in D = 5, D = 4 and D = 7. We find explicitly the location of the Hawking-Page phase transition between…

### Hamiltonian thermodynamics of the Reissner-Nordström-anti-de Sitter black hole.

- PhysicsPhysical review. D, Particles and fields
- 1996

The Hamiltonian dynamics and thermodynamics of spherically symmetric Einstein-Maxwell spacetimes with a negative cosmological constant are considered and the theory is reduced to its true dynamical degrees of freedom.

### Rotation and the AdS/CFT correspondence

- Physics
- 1998

In asymptotically ﬂat space a rotating black hole cannot be in thermodynamic equilibrium because the thermal radiation would have to be co-rotating faster than light far from the black hole. However…

### Charged AdS black holes and catastrophic holography

- Physics
- 1999

We compute the properties of a class of charged black holes in anti--de Sitter space-time, in diverse dimensions. These black holes are solutions of consistent Einstein-Maxwell truncations of gauged…

### Thermodynamics of black holes in anti-de Sitter space

- Physics
- 1983

The Einstein equations with a negative cosmological constant admit black hole solutions which are asymptotic to anti-de Sitter space. Like black holes in asymptotically flat space, these solutions…

### ANTI-DE SITTER SPACE, THERMAL PHASE TRANSITION AND CONFINEMENT IN GAUGE THEORIES

- Physics
- 1998

The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of super-Yang–Mills theory in four dimensions to the…

### Black holes with unusual topology

- Physics
- 1997

Einstein's equations with a negative cosmological constant admit solutions which are asymptotically anti\char21{}de Sitter space. Matter fields in anti\char21{}de Sitter space can be in stable…

### Topological black holes in anti-de Sitter space

- Physics
- 1999

We consider a class of black hole solutions to Einstein's equations in d dimensions with a negative cosmological constant. These solutions have the property that the horizon is a (d - 2)-dimensional…