# Thermodynamics of black holes in two (and higher) dimensions

@article{Grumiller2007ThermodynamicsOB, title={Thermodynamics of black holes in two (and higher) dimensions}, author={Daniel Grumiller and Robert A. McNees}, journal={Journal of High Energy Physics}, year={2007}, volume={2007}, pages={074-074} }

A comprehensive treatment of black hole thermodynamics in two-dimensional dilaton gravity is presented. We derive an improved action for these theories and construct the Euclidean path integral. An essentially unique boundary counterterm renders the improved action finite on-shell, and its variational properties guarantee that the path integral has a well-defined semi-classical limit. We give a detailed discussion of the canonical ensemble described by the Euclidean partition function, and…

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## References

SHOWING 1-10 OF 121 REFERENCES

Boundary counterterms and the thermodynamics of 2-D black holes

- Physics
- 2005

We utilize a novel method to study the thermodynamics of two dimensional type 0A black holes with constant RR flux. Our approach is based on the Hamilton-Jacobi method of deriving boundary…

Observables for two-dimensional black holes.

- PhysicsPhysical review. D, Particles and fields
- 1995

This work considers the most general dilaton gravity theory in 1+1 dimensions and finds a simple expression that relates the energy of a generic solution to the magnitude of the corresponding Killing vector, which leads directly to an expression for the entropy.

The first law of thermodynamics for Kerr–anti-de Sitter black holes

- Physics
- 2005

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…

Evanescent black holes.

- PhysicsPhysical review. D, Particles and fields
- 1992

A renormalizable theory of quantum gravity coupled to a dilaton and conformal matter in two spacetime dimensions is analyzed and suggests that the collapsing matter radiates away all of its energy before an event horizon has a chance to form, and black holes disappear from the quantum-mechanical spectrum.

Black-hole thermodynamics and the Euclidean Einstein action.

- PhysicsPhysical review. D, Particles and fields
- 1986

It is shown that the canonical ensemble with elements of radius r and temperature T(r) for hot gravity with black holes is well defined and the direct nucleation of black holes from hot flat space can be given a thermodynamically consistent description.

An action for the exact string black hole

- Physics
- 2005

A local action is constructed describing the exact string black hole discovered by Dijkgraaf, Verlinde and Verlinde in 1992. It turns out to be a special 2D Maxwell-dilaton gravity theory, linear in…

THERMODYNAMIC GEOMETRY AND CRITICAL BEHAVIOR OF BLACK HOLES

- Physics
- 2007

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…

Black hole mass and Hamilton-Jacobi counterterms

- Physics
- 2004

We apply the method of holographic renormalization to computing black hole masses in asymptotically anti-de Sitter spaces. In particular, we demonstrate that the Hamilton-Jacobi approach to obtaining…

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…