The flat limit of three dimensional asymptotically anti-de Sitter spacetimes

Abstract

In order to get a better understanding of holographic properties of gravitational theories with a vanishing cosmological constant, we analyze in detail the relation between asymptotically anti-de Sitter and asymptotically flat spacetimes in three dimensions. This relation is somewhat subtle because the limit of vanishing cosmological constant cannot be naively taken in standard Fefferman-Graham coordinates. After reformulating the standard anti-de Sitter results in Robinson-Trautman coordinates, a suitably modified Penrose limit is shown to connect both asymptotic regimes.

11 pages revtex file

References in corpus (3)

• Massive Gravity in Three Dimensions
• The BMS/GCA correspondence
• More on Massive 3D Gravity

Cited by in corpus (171)

• Supertranslations and Superrotations at the Black Hole Horizon
• Holography of 3d Flat Cosmological Horizons
• Carrollian Perspective on Celestial Holography
• BMS/GCA Redux: Towards Flatspace Holography from Non-Relativistic Symmetries
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Entanglement entropy in Galilean conformal field theories and flat holography
• Warped Conformal Field Theory
• Flat holography and Carrollian fluids
• Scattering Amplitudes: Celestial and Carrollian
• Flat-Space Chiral Gravity
• Notes on the BMS group in three dimensions: I. Induced representations
• A theory of reparameterizations for AdS${}_3$ gravity
• Three-dimensional Bondi-Metzner-Sachs invariant two-dimensional field theories as the flat limit of Liouville theory
• BMS Particles in Three Dimensions
• The $\Lambda$-BMS${}_4$ group of dS${}_4$ and new boundary conditions for AdS${}_4$
• Asymptotically flat spacetimes in three-dimensional higher spin gravity
• Symplectic and Killing Symmetries of AdS${}_3$ Gravity: Holographic vs Boundary Gravitons
• The Holographic Nature of Null Infinity
• Most general flat space boundary conditions in three-dimensional Einstein gravity
• Holographic Reconstruction of 3D Flat Space-Time
• Soft hairy horizons in three spacetime dimensions
• AdS Witten Diagrams to Carrollian Correlators
• Magic Fermions: Carroll and Flat Bands
• Extended Super BMS Algebra of Celestial CFT
• Carrollian conservation laws and Ricci-flat gravity
• Stress tensor correlators in three-dimensional gravity
• 3D Flat Holography: Entropy and Logarithmic Corrections
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Carrollian Approach to $1+3$D Flat Holography
• Cosmic evolution from phase transition of 3-dimensional flat space
• The BMS Bootstrap
• A Grassmann Path From AdS_3 to Flat Space
• Two-dimensional fluids and their holographic duals
• Classical static final state of collapse with supertranslation memory
• Holographic applications of logarithmic conformal field theories
• Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite $\sqrt{T\bar{T}}$ deformations
• A Tale of Three. Tensionless strings and vacuum structure
• Centrally extended BMS4 Lie algebroid
• Charge Algebra in Al(A)dS${}_n$ Spacetimes
• Super-BMS${}_3$ algebras from $\mathcal{N}=2$ flat supergravities
• Conservation and Integrability in Lower-Dimensional Gravity
• Carroll/fracton particles and their correspondence
• A BMS-invariant free scalar model
• Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
• Characters of the BMS Group in Three Dimensions
• Carrollian Origins of Bjorken Flow
• Asymptotic symmetries of three-dimensional Chern-Simons gravity for the Maxwell algebra
• On 3d Bulk Geometry of Virasoro Coadjoint Orbits: Orbit invariant charges and Virasoro hair on locally AdS3 geometries
• Geometric actions and flat space holography
• Swing surfaces and holographic entanglement beyond AdS/CFT
• Weyl Charges in Asymptotically Locally AdS${}_3$ Spacetimes
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• Holographic Lorentz and Carroll Frames
• Inhomogeneous Tensionless Superstrings
• Gauges in Three-Dimensional Gravity and Holographic Fluids
• Generalizing the ${\mathfrak{bms}}_3$ and 2D-conformal algebras by expanding the Virasoro algebra
• A Rindler Road to Carrollian Worldsheets
• Symmetries at Causal Boundaries in 2D and 3D Gravity
• 3d gravity in Bondi-Weyl gauge: charges, corners, and integrability
• Quasi-local holographic dualities in non-perturbative 3d quantum gravity II - From coherent quantum boundaries to BMS3 characters
• Flat Space Limit of (Higher-Spin) Cardy Formula
• Three-dimensional asymptotically flat Einstein-Maxwell theory
• Carroll fermions in two dimensions
• Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Generic AdS3 Black Holes
• Local quantum energy conditions in non-Lorentz-invariant quantum field theories
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• Asymptotically flat spacetimes with BMS${}_3$ symmetry
• General null asymptotics and superrotation-compatible configuration spaces in $d\ge 4$
• Aspects of Flat/CCFT Correspondence
• Symmetries of the Black Hole Interior and Singularity Regularization
• Asymptotically locally flat spacetimes and dynamical black flowers in three dimensions
• N=4 Supersymmetric BMS3 algebras from asymptotic symmetry analysis
• Holographic positive energy theorems in three-dimensional gravity
• Most general theory of 3d gravity: Covariant phase space, dual diffeomorphisms, and more
• Spectral Flow in 3D Flat Spacetimes
• On Quantization of AdS3 Gravity I: Semi-Classical Analysis
• Celestial Holography: Lectures on Asymptotic Symmetries
• Finite Charges from the Bulk Action
• Desingularization of the Milne Universe
• Intertwining operators for l-conformal Galilei algebras and hierarchy of invariant equations
• Aspects of the zero $\Lambda$ limit in the AdS/CFT correspondence
• Boundary dynamics of asymptotically flat 3D gravity coupled to higher spin fields
• Flat JT Gravity and the BMS-Schwarzian
• Hydro & Thermo Dynamics at Causal Boundaries, Examples in 3d Gravity
• Non-Lorentzian Chaos and Cosmological Holography
• A BMS-invariant free fermion model
• Galilean Gauge Theories from Null Reductions
• Gravity/CFT correspondence for three dimensional Einstein gravity with a conformal scalar field
• Heavy-ion collisions, Gubser flow, and Carroll hydrodynamics
• Maximally $\mathcal{N}$-extended super-BMS${}_3$ algebras and Generalized 3D Gravity Solutions
• Gravitation in flat spacetime from entanglement
• Three-dimensional black holes and descendants
• Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions
• Semi-simple enlargement of the ${\mathfrak{bms}}_3$ algebra from a $\mathfrak{so}(2,2)\oplus \mathfrak{so}(2,1)$ Chern-Simons theory
• Horizon Strings as 3d Black Hole Microstates
• Rindler/Contracted-CFT Correspondence
• Conserved charges, surface degrees of freedom, and black hole entropy
• Scalar Fields in 3D Asymptotically Flat Higher-Spin Gravity
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Critical solutions in topologically gauged N=8 CFTs in three dimensions
• Flat-Space Holography and Stress Tensor of Kerr Black Hole
• Carrollian Yang-Mills Theory
• Baby de Sitter Black Holes and dS${}_3$/CFT${}_2$
• How General Is Holography?
• Linking Past and Future Null Infinity in Three Dimensions
• Aspects of Ultra-Relativistic Field Theories via Flat-space Holography
• Black holes and thermodynamics - The first half century
• Enhanced asymptotic $BM{S}_3$ algebra of the flat spacetime solutions of generalized minimal massive gravity
• On the Various Extensions of the BMS Group
• Dual diffeomorphisms and finite distance asymptotic symmetries in 3d gravity
• Holographic description of boundary gravitons in (3+1) dimensions
• Thomas Precession for Dressed Particles
• First Law of Entanglement Entropy in Flat-Space Holography
• Dynamical symmetries of homogeneous minisuperspace models
• Flat-Space Limit of Holographic Pseudo Entropy in (A)dS Spacetimes
• Flat space cosmologies in two dimensions - Phase transitions and asymptotic mass-domination
• Overspinning naked singularities in AdS${}_3$ spacetime
• Energy in first order 2+1 gravity
• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
• Extended Kinematical 3D Gravity Theories
• Flatspace Chiral Supergravity
• Stress tensors of 3d Carroll CFTs
• Galilean conformal algebras in two spatial dimension
• Non-Lorentzian Kač-Moody Algebras
• Holographic Calculation of BMSFT Mutual and 3-partite Information
• BMS${}_3$ Mechanics and the Black Hole Interior
• Radiation in Fluid/Gravity and the Flat Limit
• Vacuum energy in asymptotically flat 2+1 gravity
• On Stabilization of Maxwell-BMS Algebra
• Bulk Reconstruction of Scalar Excitations in Flat${}_3$/CCFT${}_2$ and the Flat Limit from (A)dS${}_3$/CFT${}_2$
• Perfect discretizations as a gateway to one-loop partition functions for 4D gravity
• Stress Tensor Correlators of CCFT${}_2$ using Flat-Space Holography
• $p$-Form Surface Charges on AdS: Renormalization and Conservation
• Minisuperspace computation of the Mabuchi spectrum
• Complexity growth of BTZ black hole in massive gravity with a null string
• Kaluza-Klein reductions and AdS/Ricci-flat correspondence
• 3d Quantum Gravity Partition Function at 3 Loops: a brute force computation
• Soft theorems in de Sitter spacetime
• Carroll spinors
• BTZ Black Holes and Flat Space Cosmologies in Higher Derivative Theories
• Hydrodynamics in the Carrollian regime
• Non-Lorentzian Supergravity and Kinematical Superalgebras
• 3D Gravity, Chern-Simons and Higher Spins: A Mini Introduction
• Flat-space Limit of Extremal Curves
• Linearized gravity and soft graviton theorem in de Sitter spacetime
• Field-dependent diffeomorphisms and the transformation of surface charges between gauges
• Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
• Universal sectors of two-dimensional Carrollian CFTs
• Asymptotically flat black holes and gravitational waves in three-dimensional massive gravity
• Quasi-Local 3D Quantum Gravity : Exact Amplitude and Holography
• 1/c deformations of AdS${}_3$ boundary conditions and the Dym hierarchy
• Fefferman-Graham and Bondi Gauges in the Fluid/Gravity Correspondence
• Unfolded Fierz-Pauli Equations in Three-Dimensional Asymptotically Flat Spacetimes
• New boundary conditions in Einstein-scalar gravity in three dimensions
• Asymptotic dynamics of three-dimensional gravity
• Character of the highest weight module of BMS algebra realized on codimensional-two boundary
• Free-field construction of Carrollian $W_N$-algebras
• Hirota-Satsuma Dynamics as a Non-Relativistic Limit of KdV Equations
• Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy
• Holographic CCFT Pseudo-Entropy
• Asymptotic Symmetry and Classical holographic dual of $d{S}_3$ supergravity
• Notes on no black hole theorem in three dimensional gravity
• Symmetries and Asymptotically Flat Space
• Hidden Symmetries in Gravity : Black holes and other minisuperspaces
• Strings near BTZ black holes: A Carrollian Chronicle
• A Matrix Model with BMS${}_3$ Constraints
• Rotating Black Holes in Three-Dimensional Horava Gravity Revisited
• Aspects of Higher Spin Theories, Conformal Field Theories and Holography
• Anomaly Equation of the Large U(1) Chiral Symmetry
• Nonperfect Carrollian Fluids Through Holography
• Contractions from Grading