Comments on 2D dilaton gravity system with a hyperbolic dilaton potential

Abstract

We proceed to study a (1+1)-dimensional dilaton gravity system with a hyperbolic dilaton potential. Introducing a couple of new variables leads to two copies of Liouville equations with two constraint conditions. In particular, in conformal gauge, the constraints can be expressed with Schwarzian derivatives. We revisit the vacuum solutions in light of the new variables and reveal its dipole-like structure. Then we present a time-dependent solution which describes formation of a black hole with a pulse. Finally, the black hole thermodynamics is considered by taking account of conformal matters from two points of view: 1) the Bekenstein-Hawking entropy and 2) the boundary stress tensor. The former result agrees with the latter one with a certain counter-term.

arXiv comment23 pages

References in corpus (43)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• The World as a Hologram
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Review of AdS/CFT Integrability: An Overview
• Evanescent Black Holes
• Double Field Theory
• Chaos in AdS${}_2$ holography
• The Spectrum in the Sachdev-Ye-Kitaev Model
• An Investigation of AdS${}_2$ Backreaction and Holography
• Generalized metric formulation of double field theory
• Superspace Duality in Low-Energy Superstrings
• A Geometry for Non-Geometric String Backgrounds
• Two-Vierbein Formalism for String-Inspired Axionic Gravity
• Dilaton Gravity in Two Dimensions
• On integrability of the Yang-Baxter $\si$-model
• An integrable deformation of the AdS_5 x S^5 superstring action
• Yang-Baxter $\sigma$-models and dS/AdS T-duality
• Doubled Geometry and T-Folds
• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• On classical q-deformations of integrable sigma-models
• A Generalization of Sachdev-Ye-Kitaev
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
• Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N
• Models of AdS_2 Backreaction and Holography
• Yang-Baxter sigma models based on the CYBE
• Covariant action for a string in doubled yet gauged spacetime
• Manifest Duality in Low-Energy Superstrings
• Infrared Realization of dS${}_2$ in AdS${}_2$
• Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
• General Form of Dilaton Gravity and Nonlinear Gauge Theory
• Generalized gravity from modified DFT
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Rainbow tensor model with enhanced symmetry and extreme melonic dominance
• Schrodinger Sigma Models and Jordanian Twists
• Generalized IIB supergravity from exceptional field theory
• Weyl invariance for generalized supergravity backgrounds from the doubled formalism
• Deformations of the Almheiri-Polchinski model
• A Note on Sachdev-Ye-Kitaev Like Model without Random Coupling
• Minimal surfaces in $q$-deformed AdS${}_5\times$S${}^5$ with Poincare coordinates
• Exact solutions and critical chaos in dilaton gravity with a boundary

Cited by in corpus (23)

• On the Dynamics of Near-Extremal Black Holes
• Liouville quantum gravity -- holography, JT and matrices
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• Correlators in tensor models from character calculus
• Ward identities and combinatorics of rainbow tensor models
• The Virasoro Minimal String
• Dilaton-gravity, deformations of the minimal string, and matrix models
• From Quantum Groups to Liouville and Dilaton Quantum Gravity
• Cut and join operator ring in Aristotelian tensor model
• Supergroup Structure of Jackiw-Teitelboim Supergravity
• From Kronecker to tableau pseudo-characters in tensor models
• JT Gravity Limit of Liouville CFT and Matrix Model
• $T\bar{T}$-deformation and Liouville gravity
• Weyl transformation and regular solutions in a deformed Jackiw-Teitelboim model
• Deformations of JT Gravity via Topological Gravity and Applications
• Models of phase stability in Jackiw-Teitelboim gravity
• Holographic derivation of $q$ SYK spectrum with Yang-Baxter shift
• SYK/AdS duality with Yang-Baxter deformations
• Quantum group origins of edge states in double-scaled SYK
• Gravitational wavefunctions in JT supergravity
• On the Liouville 2D dilaton gravity models with sinh-Gordon matter
• Boundary Conditions for $\mathrm{Ad}{\mathrm{S}}_2$ Dilaton Gravity
• Asymptotics of Weil-Petersson volumes and two-dimensional quantum gravities