Islands in Non-Minimal Dilaton Gravity: Exploring Effective Theories for Black Hole Evaporation

Abstract

We start from $(3+1)$-dimensional Einstein gravity with minimally coupled massless scalar matter, through spherical dimensional reduction, the matter theory is non-minimally coupled with the dilaton in $(1+1)$-dimensions. Despite its simplicity, constructing a self-consistent one-loop effective theory for this model remains a challenge, partially due to a Weyl-invariant ambiguity in the effective action. With a universal splitting property for the one-loop action, the ambiguity can be identified with the state-dependent part of the covariant quantum stress tensor. By introducing on-shell equivalent auxiliary fields to construct minimal candidates of Weyl-invariant terms, we derive a one-parameter family of one-loop actions with unique, regular, and physical stress tensors corresponding to the Boulware, Hartle-Hawking and Unruh states. We further study the back-reacted geometry and the corresponding quantum extremal islands that were inaccessible without a consistent one-loop theory. Along the way, we elaborate on the implications of our construction for the non-minimal dilaton gravity model.

arXiv comment70 pages, 5 figures; v2: fixed a few typos and updated references; v3: an updated version consistent with JHEP

References in corpus (77)

• Gauge Theory Correlators from Non-Critical String Theory
• Geometric and Renormalized Entropy in Conformal Field Theory
• Entanglement entropy and conformal field theory
• Information in Black Hole Radiation
• Evanescent Black Holes
• Heat kernel expansion: user's manual
• Replica Wormholes and the Entropy of Hawking Radiation
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• The Page curve of Hawking radiation from semiclassical geometry
• The entropy of Hawking radiation
• An Investigation of AdS${}_2$ Backreaction and Holography
• Entanglement entropy in free quantum field theory
• Dilaton Gravity in Two Dimensions
• Time Dependence of Hawking Radiation Entropy
• The Endpoint of Hawking Evaporation
• Information Transfer with a Gravitating Bath
• Black hole thermodynamics and information loss in two dimensions
• Entanglement islands in higher dimensions
• Effective Action of Vacuum: Semiclassical Approach
• Inconsistency of Islands in Theories with Long-Range Gravity
• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• Islands in Schwarzschild black holes
• Islands in cosmology
• Page Curve for an Evaporating Black Hole
• Islands in Asymptotically Flat 2D Gravity
• Entanglement and alpha entropies for a massive scalar field in two dimensions
• Critical Islands
• Notes on islands in asymptotically flat 2d dilaton black holes
• Replica wormholes for an evaporating 2D black hole
• On 4D-Hawing Radiation from Effective Action
• Trace Anomaly of Dilaton Coupled Scalars in Two Dimensions
• Asymptotic behaviours of the heat kernel in covariant perturbation theory
• Semi-infinite Throat as the End-state Geometry of two-dimensional Black Hole Evaporation
• Hawking radiation from dilaton gravity in 1 + 1 dimensions: a pedagogical review
• Hawking radiation by effective two-dimensional theories
• Islands in Linear Dilaton Black Holes
• Jackiw-Teitelboim Gravity from the Karch-Randall Braneworld
• Page curves for a family of exactly solvable evaporating black holes
• Covariant Effective Action and One-Loop Renormalization of 2D Dilaton Gravity with Fermionic Matter
• Energy-momentum tensor for scalar fields coupled to the dilaton in two dimensions
• Vacuum polarization in the Schwarzschild spacetime and dimensional reduction
• Soluble models in 2d dilaton gravity
• Aspects of AdS${}_2$ Quantum Gravity and the Karch-Randall Braneworld
• Semiclassical zero-temperature corrections to Schwarzschild spacetime and holography
• The Dimensional-Reduction Anomaly
• New nonlocal effective action
• Effective action and Hawking radiation for dilaton coupled scalars in two dimensions
• Hawking Radiation and Unitary evolution
• 4D quantum black hole physics from 2D models?
• Entanglement Islands in Generalized Two-dimensional Dilaton Black Holes
• Nonperturbative late time asymptotics for heat kernel in gravity theory
• Static Black Holes With Back Reaction From Vacuum Energy
• One-Loop Effective Action for Spherical Scalar Field Collapse
• One-loop corrections for Schwarzschild black hole via 2D dilaton gravity
• Schwarzschild geometry counterpart in semiclassical gravity
• Solvable Models for radiating Black Holes and Area-preserving Diffeomorphisms
• Quantum corrections to the Schwarzschild metric from vacuum polarization
• Conformal anomaly in 2d dilaton-scalar theory
• Area-preserving structure of 2d-gravity
• Weyl Anomaly of 2D Dilaton-Scalar Gravity and Hermiticity of System Operator
• Page curves and Entanglement Islands for the Step-Function Vaidya Model of Evaporating Black Holes
• Static quantum corrections to the Schwarzschild spacetime
• Vacuum polarization in two-dimensional static spacetimes and dimensional reduction
• An Analytic Description of Semi-Classical Black-Hole Geometry
• Two-dimensional effective action for matter fields coupled to the dilaton
• Back Reaction of 4D Conformal Fields on Static Geometry
• Exactly solvable models of two-dimensional dilaton gravity and quantum eternal black holes
• Page Curve for Eternal Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity
• Weyl Invariance and Black Hole Evaporation
• Unified approach to study quantum properties of primordial black holes, wormholes and of quantum cosmology
• On the Dimensional Reduction Procedure
• Quantum corrections for (anti)-evaporating black hole
• Generalized Virasoro anomaly and stress tensor for dilaton coupled theories
• Effective Action and Hawking Flux from Covariant Perturbation Theory
• IR Renormalisation of General Effective Actions and Hawking Flux in 2D Gravity Theories
• On the dimensional reduced theories

Cited by in corpus (5)

• Island of Reissner-Nordstr$\ddot{\mathbf{o}}$m anti-de Sitter black holes in the large $d$ limit
• Unveiling horizons in quantum critical collapse
• Quantum Critical Collapse Abhors a Naked Singularity
• The fate of Reissner--Nordström--de Sitter black holes: nonequilibrium discharge and evaporation
• The Fate of Nucleated Black Holes in de Sitter Quantum Gravity