RECORD
Observables for Two-Dimensional Black Holes
General Relativity and Quantum Cosmology · Submitted 11 Aug 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In theories that admit black hole solutions, this relationship leads directly to an expression for the entropy $S=2\pi \tau_0/G$, where $\tau_0$ is the value of the scalar field (in this parametrization) at the event horizon.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We consider the most general dilaton gravity theory in 1+1 dimensions. By suitably parametrizing the metric and scalar field we find a simple expression that relates the energy of a generic solution to the magnitude of the corresponding Killing vector. In theories that admit black hole solutions, this relationship leads directly to an expression for the entropy $S=2\pi \tau_0/G$, where $\tau_0$ is the value of the scalar field (in this parametrization) at the event horizon. This result agrees with the one obtained using the more general method of Wald. Finally, we point out an intriguing connection between the black hole entropy and the imaginary part of the ``phase" of the exact Dirac quantum wave functionals for the theory.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider the most general dilaton gravity theory in 1+1 dimensions. | background 0.63 | 0.62 | 0.03 | asserted 0.74 |
| s1 | By suitably parametrizing the metric and scalar field we find a simple expression that relates the energy of a generic solution to the magnitude of the corresponding Killing vector. | method 0.37 | 0.96 | 0.12 | asserted 1.00 |
| s2 | In theories that admit black hole solutions, this relationship leads directly to an expression for the entropy $S=2\pi \tau_0/G$, where $\tau_0$ is the value of the scalar field (in this parametrization) at the event horizon. | result 1.00 | 0.86 | 0.66 | asserted 1.00 |
| s3 | This result agrees with the one obtained using the more general method of Wald. | result 0.69 | 0.31 | 0.11 | asserted 0.99 |
| s4 | Finally, we point out an intriguing connection between the black hole entropy and the imaginary part of the ``phase" of the exact Dirac quantum wave functionals for the theory. | result 0.56 | 0.77 | 0.14 | asserted 0.70 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We consider the most general dilaton gravity theory in 1+1 dimensions. By suitably parametrizing the metric and scalar field we find a simple expression that relates the energy of a generic solution to the magnitude of the corresponding Killing vector. In theories that admit black hole solutions, this relationship leads directly to an expression for the entropy $S=2\pi \tau_0/G$, where $\tau_0$ is the value of the scalar field (in this parametrization) at the event horizon. This result agrees with the one obtained using the more general method of Wald. Finally, we point out an intriguing connection between the black hole entropy and the imaginary part of the ``phase" of the exact Dirac quantum wave functionals for the theory.
Human review
References
How the literature uses it
32 arXiv papers cite this in 41 sentences
Papers citing it · 32 sentences without a confident label
Uses its method or tool 2 papers
-
The Wald entropy, following the definition in terms of the Noether charge $Q(ξ_g)$ of [ref] , becomes S_Wald = 2π/κ ∫_P Q(ξ_g) = 2π/κ 1/16 πG .
The gravitational dynamics of kinematic space · Modular Hamiltonian · 0.93
-
In this appendix, we show explicitly that the integration constant $C$ in Eq. ([ref]) is just the Arnowitt-Deser-Missner (ADM) mass [ref] through the Hamiltonian analysis by using the notation and convention of Refs. [ref] .
Thermodynamics of Einstein-Born-Infeld black holes in three dimensions · Appendix: ADM mass from the Hamiltonian analysis · 0.93
Compares with it 1 paper
-
We have also included an extra factor of $4$ in $g_tt$ compared to [ref] , which is a simple rescaling of the time coordinate $t$.
From Quantum Groups to Liouville and Dilaton Quantum Gravity · Semiclassical Black Hole First Law · 0.88
Cites it as background 6 papers
-
JT gravity is recovered upon $logq≪1$ without rescaling the dilaton.] The classical solutions for general dilaton gravity models are well-known [ref] .
The dilaton gravity hologram of double-scaled SYK · Sine dilaton gravity semiclassics · 0.93
-
Let us begin with the action S[g,ϕ] = 1/2G∫d^2x √(-g) ( ϕR(g) + V(ϕ)/l^2), which is, up to conformal reparametrizations of the metric, the most general $1+1$-dimensional, second order, diffeomorphism invariant action depending on the metric tensor $g_μν$ and the dilaton scalar $ϕ$ [ref] .
Effective Polymer Dynamics of D-Dimensional Black Hole Interiors · Action and Solutions · 0.90
-
Thermodynamics of 2-dimensional dilaton gravity models [ref] was discussed assuming $U(X)=0$ by Gegenberg, Kunstatter and Louis-Martinez [ref] .
Black holes and thermodynamics - The first half century · 1983–1993 · 0.82
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.