Black Holes, Shock Waves, and Causality in the AdS/CFT Correspondence

Abstract

We find the expectation value of the energy-momentum tensor in the CFT corresponding to a moving black hole in AdS. Boosting the black hole to the speed of light, keeping the total energy fixed, yields a gravitational shock wave in AdS. The analogous procedure on the field theory side leads to ``light cone'' states, i.e., states with energy-momentum tensor localized on the light cone. The correspondence between the gravitational shock wave and these light cone states provides a useful tool for testing causality. We show, in several examples, how the CFT reproduces the causal relations in AdS.

Minor corrections, references added

References in corpus (8)

• The Holographic Bound in Anti-de Sitter Space
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• AdS Dynamics from Conformal Field Theory
• On N=8 Supergravity on $Ad{S}_5$ and N=4 Superconformal Yang-Mills theory
• Vacua, Propagators, and Holographic Probes in AdS/CFT
• Vacua of M-theory and string theory
• Higher Spin N=8 Supergravity
• AdS_7/CFT_6 Correspondence and Matrix Models of M5-Branes

Cited by in corpus (116)

• Large N Field Theories, String Theory and Gravity
• A Stress Tensor for Anti-de Sitter Gravity
• Conformal collider physics: Energy and charge correlations
• Localized shocks
• Causality Constraints on Corrections to the Graviton Three-Point Coupling
• Two-dimensional conformal field theory and the butterfly effect
• Local bulk operators in AdS/CFT: a boundary view of horizons and locality
• Asymptotic perfect fluid dynamics as a consequence of AdS/CFT
• Spacetime and the Holographic Renormalization Group
• Theorems on gravitational time delay and related issues
• Holographic Particle Detection
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• Holographic Local Quenches and Entanglement Density
• Holographic studies of quasi-topological gravity
• On geodesic propagators and black hole holography
• Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity
• Entropy production in collisions of gravitational shock waves and of heavy ions
• Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion
• Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions
• The boundary S-matrix and the AdS to CFT dictionary
• Does Complexity Equal Anything?
• Comments on Black Holes in String Theory
• Negative Energy, Superluminosity and Holography
• From gauge-string duality to strong interactions: a Pedestrian's Guide
• Expanding plasmas and quasinormal modes of anti-de Sitter black holes
• Quantum Entanglement of Localized Excited States at Finite Temperature
• Spherically Collapsing Matter in AdS, Holography, and Shellons
• Mutual information after a local quench in conformal field theory
• Effective theories and black hole production in warped compactifications
• On Lifshitz scaling and hyperscaling violation in string theory
• Shocks, Superconvergence, and a Stringy Equivalence Principle
• The AdS/CFT Correspondence
• Bulk-cone singularities & signatures of horizon formation in AdS/CFT
• Entanglement Wedge Cross Section from CFT: Dynamics of Local Operator Quench
• Off-center collisions in AdS_5 with applications to multiplicity estimates in heavy-ion collisions
• Scrambling time from local perturbations of the eternal BTZ black hole
• Holographic Quantum Circuits from Splitting/Joining Local Quenches
• Causality in Curved Spacetimes: The Speed of Light & Gravity
• Holographic Domains of Anti-de Sitter Space
• A holographic proof of the averaged null energy condition
• Universal Lowest-Twist in CFTs from Holography
• Chaos in the butterfly cone
• String Theory on AdS Orbifolds
• Exact Gravitational Shockwaves and Planckian Scattering on Branes
• Toward the AdS/CFT gravity dual for High Energy Collisions: I.Falling into the AdS
• Lovelock theory and the AdS/CFT correspondence
• Gravitational collapse and its boundary description in AdS
• Charged False Vacuum Bubbles and the AdS/CFT Correspondence
• A Conformal Collider for Holographic CFTs
• Critical Formation of Trapped Surfaces in the Collision of Non-expanding Gravitational Shock Waves in de Sitter Space-Time
• AdS/CFT and the Information Paradox
• Holographic local quench and effective complexity
• Causal structures and holography
• Non-Local Effects of Multi-Trace Deformations in the AdS/CFT Correspondence
• Heisenberg saturation of the Froissart bound from AdS-CFT
• High Energy Scattering in the AdS/CFT Correspondence
• Relativistic gyratons in asymptotically AdS spacetime
• Probing Universalities in d>2 CFTs: from Black Holes to Shockwaves
• Nonexpanding impulsive gravitational waves with an arbitrary cosmological constant
• Brane Dynamics of Holographic BCFTs
• AdS plane waves and entanglement entropy
• Global properties of causal wedges in asymptotically AdS spacetimes
• Holographic stress tensor at finite coupling
• Exact impulsive gravitational waves in spacetimes of constant curvature
• Symmetries and geodesics in (anti-)de Sitter spacetimes with nonexpanding impulsive waves
• High-order quadrature-based lattice Boltzmann models for the flow of ultrarelativistic rarefied gases
• Sphalerons, Merons and Unstable Branes in AdS
• Holographic phase diagram of quark-gluon plasma formed in heavy-ions collisions
• Local quenches, bulk entanglement entropy and a unitary Page curve
• Holographic dual of collimated radiation
• Shock waves in strongly coupled plasmas
• Scrambling time from local perturbations of the rotating BTZ black hole
• Shock waves in strongly coupled plasmas II
• Partition functions on slightly squashed spheres and flux parameters
• Boundary description of Planckian scattering in curved spacetimes
• Higher-derivative holography with a chemical potential
• Superluminal chaos after a quantum quench
• Gravity dual of conformal matter collisions in 1+1 dimensions
• The global existence, uniqueness and C^1-regularity of geodesics in nonexpanding impulsive gravitational waves
• Eigenstate Thermalisation in the conformal Sachdev-Ye-Kitaev model: an analytic approach
• Positive Mass from Holographic Causality
• A note on causality in the bulk and stability on the boundary
• Looking for event horizons using UV/IR relations
• Inflation and Holography in String Theory
• (2+1)-dimensional Einstein-Kepler problem in the centre-of-mass frame
• Exactly Stable Collective Oscillations in Conformal Field Theory
• The soft Pomeron from AdS-CFT
• Gravity dual of dynamically broken supersymmetry
• Holographic Entanglement Entropy of Local Quenches in AdS${}_4$/CFT${}_3$: A Finite-Element Approach
• Memory Effect in Anti-de Sitter Spacetime
• Relativistic Beaming in AdS/CFT
• Almost universal spacetimes in higher-order gravity theories
• Catalysis of Black Holes/Wormholes Formation in High Energy Collisions
• Fluid/gravity correspondence and the CFM black brane solutions
• Radiation, entanglement and islands from a boundary local quench
• Holographic description of D3-branes in flat space
• Fundamental branes and shock waves
• Penrose junction conditions extended: impulsive waves with gyratons
• Penrose junction conditions with $\Lambda$: Geometric insights into low-regularity metrics for impulsive gravitational waves
• Gravitational Corner Conditions in Holography
• Locally Localized Gravity: The Inside Story
• From locality to irregularity: Introducing local quenches in massive scalar field theory
• On Causality Conditions in de Sitter Spacetime
• Einstein black holes, free scalars and AdS/CFT correspondence
• Einstein-Maxwell fields with vanishing higher-order corrections
• A falling magnetic monopole as a holographic local quench
• The Hadamard Function and the Feynman Propagator in the AdS/CFT Correspondence
• On the Beaming of Gluonic Fields at Strong Coupling
• Sharp disentanglement in holographic charged local quench
• All non-expanding gravitational waves in $D$-dimensional (anti-)de Sitter space
• Holography for a small world
• Holographic Black Hole Formation and Scrambling in Time-Ordered Correlators
• Higher-spin localized shocks
• Holographic Local Operator Quenches in BCFTs
• The Penrose Property with a Cosmological Constant
• Causality constraints in Quadratic Gravity