Black hole thermodynamics and Hamilton-Jacobi counterterm

@article{Bergamin2008BlackHT,
  title={Black hole thermodynamics and Hamilton-Jacobi counterterm},
  author={Luzi Bergamin and Daniel Grumiller and Robert A. McNees and Ren'e Meyer},
  journal={Journal of Physics A},
  year={2008},
  volume={41},
  pages={164068}
}
We review the construction of the universal Hamilton-Jacobi counterterm for dilaton gravity in two dimensions, derive the corresponding result in the Cartan formulation and elaborate further upon black hole thermodynamics and semi-classical corrections. Applications include spherically symmetric black holes in arbitrary dimensions with Minkowski- or AdS-asymptotics, the BTZ black hole and black holes in two-dimensional string theory. 
View PDF on arXiv
9 Citations
Background Citations
3
Methods Citations
1

9 Citations

Citation Type

Citation Type

Affine quantization of Black Holes: thermodynamics, singularity removal and displaced horizons
In this work we investigate the thermodynamical properties and modified dynamics of black hole solutions in the semiclassical regime of ane coherent state quantization. Using the weak correspondence…
Two-Dimensional Quantum Gravity with Boundary
Using the recently found first order formulation of two-dimensional dilaton gravity with boundary, we perform a Hamiltonian analysis and subsequent path integral quantization. The importance of the…
First-order action and Euclidean quantum gravity
We show that the on-shell path integral for asymptotically flat Euclidean spacetimes can be given in the first-order formulation of general relativity, without assuming the boundary to be…
Conservation and integrability in lower-dimensional gravity
We address the questions of conservation and integrability of the charges in two and three-dimensional gravity theories at infinity. The analysis is performed in a framework that allows us to treat…
Path Integral for Half-Binding Potentials as Quantum Mechanical Analog for Black Hole Partition Functions
The semi-classical approximation to black hole partition functions is not well-defined, because the classical action is unbounded and the first variation of the uncorrected action does not vanish for…
Wolfgang Kummer and the Vienna School of Dilaton (Super-)Gravity
Wolfgang Kummer was well known for his passion for axial gauges and for the formulation of gravity in terms of Cartan variables. The combination of the two applied to two dimensional dilaton gravity…
Holography in External Fields and in Time Dependent Backgrounds
Holographic models, i.e. theories describing higher-dimensional gravitational physics in terms of lower-dimensional models without gravitation and vice versa, come in two guises in string theory: The…
Aspects of AdS2 Holography with Non-Constant Dilaton
In this article we summarize and discuss results presented in [1, 2] in the light of recent developments in holography [3–6].
The Microcanonical Density of States and Causal

References

SHOWING 1-10 OF 88 REFERENCES
Black hole mass and Hamilton-Jacobi counterterms
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 two (and higher) dimensions
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…
Boundary counterterms and the thermodynamics of 2-D black holes
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…
Thermodynamics of Two-Dimensional Black-Holes
We explore the thermodynamics of a general class of two dimensional dilatonic black-holes. A simple prescription is given that allows us to compute the mass, entropy and thermodynamic potentials,…
Positive specific heat of the quantum corrected dilaton black hole
Path integral quantization of dilaton gravity in two dimensions is applied to the CGHS model to the first nontrivial order in matter loops. Our approach is background independent as geometry is…
Two-dimensional black hole physics.
  • Frolov
  • Physics
    Physical review. D, Particles and fields
  • 1992
TLDR
The existence of static solutions describing black holes with tachyon hairs is proved and the entropy of a charged 2D black hole is shown to be 2π exp(Φ H ), where Φ H is the value of the dilaton field at the black hole horizon.
Thermodynamics of large AdS black holes
We consider leading order quantum corrections to the geometry of large AdS black holes in a spherical reduction of four-dimensional Einstein gravity with negative cosmological constant. The Hawking…
Quantum dilaton gravity in two dimensions with fermionic matter
Path integral quantization of generic two-dimensional dilaton gravity non-minimally coupled to a Dirac fermion is performed. After integrating out geometry exactly, perturbation theory is employed in…
Classical solutions of 2-dimensional string theory
We present an exact one-parameter family of solutions to the classical graviton-dilaton system in two dimensions. The solution can be identified as a black hole. We present the solution both in a…
Observables for two-dimensional black holes.
TLDR
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.
...
...