Black holes and the double copy

Abstract

Recently, a perturbative duality between gauge and gravity theories (the double copy) has been discovered, that is believed to hold to all loop orders. In this paper, we examine the relationship between classical solutions of non-Abelian gauge theory and gravity. We propose a general class of gauge theory solutions that double copy to gravity, namely those involving stationary Kerr-Schild metrics. The Schwarzschild and Kerr black holes (plus their higher-dimensional equivalents) emerge as special cases. We also discuss plane wave solutions. Furthermore, a recently examined double copy between the self-dual sectors of Yang-Mills theory and gravity can be reinterpreted using a momentum-space generalisation of the Kerr-Schild framework.

22 pages; typos corrected and references added

References in corpus (15)

• New Relations for Gauge-Theory Amplitudes
• Minimal Basis for Gauge Theory Amplitudes
• The Kinematic Algebra From the Self-Dual Sector
• Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program
• Ambitwistor strings in 4-dimensions
• Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
• Yang-Mills origin of gravitational symmetries
• Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
• Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
• Multiparticle SYM equations of motion and pure spinor BRST blocks
• Fundamental BCJ Relation in N=4 SYM From The Connected Formulation
• Scattering equations and virtuous kinematic numerators and dual-trace functions
• Color-Kinematics Duality and the Regge Limit of Inelastic Amplitudes
• Note on symmetric BCJ numerator
• Color kinematic symmetric (BCJ) numerators in a light-like gauge

Cited by in corpus (170)

• Advances in QED with intense background fields
• Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics
• Classical black hole scattering from a worldline quantum field theory
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• The Kerr-Schild double copy in curved spacetime
• Scattering on plane waves and the double copy
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• Quadratic-in-Spin Hamiltonian at $\mathcal{O}(G^2)$ from Scattering Amplitudes
• Compton Black-Hole Scattering for $s\le 5/2$
• A Twistorial Foundation for the Classical Double Copy
• A worldsheet for Kerr
• The Weyl Double Copy for Gravitational Waves
• Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
• A double copy for $\mathcal{N}=2$ supergravity: a linearised tale told on-shell
• Classical Solutions and their Double Copy in Split Signature
• Double Copy from Homotopy Algebras
• Topology and Wilson lines: global aspects of the double copy
• Double Copy for Celestial Amplitudes
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• The classical double copy of non-singular black holes
• Shifting Spin on the Celestial Sphere
• The Classical Double Copy of a Point Charge
• The convolutional double copy: a case study with a point
• Covariant Color-Kinematics Duality
• Extended solutions for the biadjoint scalar field
• A double copy for asymptotic symmetries in the self-dual sector
• Classical Yang-Mills observables from amplitudes
• Twofold Symmetries of the Pure Gravity Action
• Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
• The Newman-Penrose Map and the Classical Double Copy
• Classical and quantum double copy of back-reaction
• Weyl doubling
• Kerr-Newman from Minimal Coupling
• Sources in the Weyl double copy
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Classical double copy at null infinity
• Classical Double Copy of Worldline Quantum Field Theory
• Monopoles, shockwaves and the classical double copy
• Gravitational shock waves and scattering amplitudes
• Strings, extended objects, and the classical double copy
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• Celestial holography on Kerr-Schild backgrounds
• Double Field Theory as the Double Copy of Yang-Mills
• New heavenly double copies
• Constraints on a Massive Double-Copy and Applications to Massive Gravity
• Massive Gravity from Double Copy
• Asymptotic Weyl Double Copy
• Generalizations of the Double-Copy: the KLT Bootstrap
• Classical Limit of Higher-Spin String Amplitudes
• Loop-Level Double-Copy for Massive Quantum Particles
• Relations for Einstein-Yang-Mills amplitudes from the CHY representation
• Gauge invariant double copy of Yang-Mills theory: the quartic theory
• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• Einstein-Maxwell theory and the Weyl double copy
• Scattering Amplitudes and the Double Copy in Topologically Massive Theories
• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• Alternative formulations of the twistor double copy
• The Gauge Structure of Double Field Theory follows from Yang-Mills Theory
• Twistor Space Origins of the Newman-Penrose Map
• Conformal Gravity from Gauge Theory
• Quantum Hair from Gravity
• Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
• Asymptotic dynamics on the worldline for spinning particles
• On the Lagrangian formulation of the double copy to cubic order
• Amplitudes, Hopf algebras and the colour-kinematics duality
• The double copy of the multipole expansion
• Why is the Weyl double copy local in position space?
• Geodesics From Classical Double Copy
• Non-perturbative aspects of the self-dual double copy
• Isometries and the double copy
• Graviton and gluon scattering from first principles
• Classical resummation and breakdown of strong-field QED
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• The Weyl double copy in vacuum spacetimes with a cosmological constant
• More on the Classical Double Copy in Three Spacetime Dimensions
• The single copy of the gravitational holonomy
• Classical Double Copy of Spinning Worldline Quantum Field Theory
• Aligned Fields Double Copy to Kerr-NUT-(A)dS
• $\mathcal{N}=1$ Supersymmetric Double Field Theory and the generalized Kerr-Schild Ansatz
• Kaluza-Klein from Colour-Kinematics Duality for Massive Fields
• A Rutherford-like formula for scattering off Kerr-Newman BHs and subleading corrections
• Classical Gravitational Self-Energy from Double Copy
• Weyl double copy and massless free fields in curved spacetimes
• Scattering of Gravitons and Spinning Massive States from Compact Numerators
• Generalised Schwarzschild metric from double copy of point-like charge solution in Born-Infeld theory
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• Classical and quantum gravitational scattering with Generalized Wilson Lines
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• Gauge $\times$ Gauge $=$ Gravity on Homogeneous Spaces using Tensor Convolutions
• Solutions in Nonlinear Electrodynamics and their double copy regular black holes
• The Classical Double Copy for Half-Maximal Supergravities and T-duality
• Large Gauge Effects and the Structure of Amplitudes
• Black Hole Horizons from the Double Copy
• Extracting Einstein from the Loop-Level Double-Copy
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
• Tree-Level Color-Kinematics Duality Implies Loop-Level Color-Kinematics Duality up to Counterterms
• Beyond the standard model with six-dimensional spinors
• Some global, analytical and topological properties of regular black holes
• Planar solutions of higher-spin theory. Nonlinear corrections
• Gravitational Dyonic Amplitude at One-Loop and its Inconsistency with the Classical Impulse
• Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes
• Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields
• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• Charging Kerr-Schild spacetimes in higher dimensions
• Worldline description of a bi-adjoint scalar and the zeroth copy
• Regularized Weyl double copy
• Note on the asymptotic structure of Kerr-Schild form
• A spinorial double copy for $\mathcal{N}=0$ supergravity
• Classical double copy and higher-spin fields
• Planar solutions of higher-spin theory I: free field level
• A scattering amplitudes approach to hard thermal loops
• BRST Symmetry and the Convolutional Double Copy
• On symmetries and dynamics of exotic supermultiplets
• Strong Field Scattering of Black Holes: Assessing Resummation Strategies
• Asymptotic freedom from the two loop term of the $\beta$-function in a cubic theory
• Kerr-Schild double copy for Kundt spacetimes of any dimension
• Flavour-kinematics duality for Goldstone modes
• Asymptotic Weyl double copy in Newman-Penrose formalism
• The double copy: from optics to quantum gravity
• Entanglement and the Double Copy
• Non-locality and gravitoelectromagnetic duality
• Massive spin three-half field in a constant electromagnetic background
• Compactifying the Kerr-Schild Double Copy
• Waveforms from Amplitudes
• BCJ, worldsheet quantum algebra and KZ equations
• Gravito-electromagnetism, Kerr-Schild and Weyl double copies; a unified perspective
• Kaehler geometry of black holes and gravitational instantons
• Nonlocal modification of the Kerr metric
• Weyl-Lewis-Papapetrou coordinates, self-dual Yang-Mills equations and the single copy
• Weyl double copy in type D spacetime in four and five dimensions
• Background ambiguity and the Gödel double copy
• Next-to-MHV Yang-Mills kinematic algebra
• Quantum Effects for Black Holes with On-Shell Amplitudes
• Five dimensional Weyl double copy
• New framework for classical double copies
• Field redefinition invariant Lagrange multiplier formalism with gauge symmetries
• The Weyl double copy from twistor space
• Classicalization and unitarization of wee partons in QCD and Gravity: The CGC-Black Hole correspondence
• Asymptotic symmetries and memories of gauge theories in FLRW spacetimes
• Hawking radiation from the double copy
• Classical double copy in the black hole mini-superspace
• The double copy effective action: a quantum (chromodynamics) approach to space-time
• Notes on self-dual gravity
• On kinetic theories with color and spin from amplitudes
• Slowly rotating charges from Weyl double copy for Kerr black hole with Chern-Simons correction
• Revisiting the dynamics of a charged spinning body in curved spacetime
• All non-expanding gravitational waves in $D$-dimensional (anti-)de Sitter space
• On the uniqueness of the Kerr-(A)dS metric as a type II(D) solution in six dimensions
• Fermions and the scattering equations
• Massive Covariant Colour-Kinematics in 3D
• Self-dual gravity via Hitchin's equations
• Quantum point particle approximation of spinning black holes and compact stars
• Untwisting the double copy: the zeroth copy as an optical seed
• Yang-Mills observables: from KMOC to eikonal through EFT
• The Radial Action from Probe Amplitudes to All Orders
• Sudakov Representation of the Cachazo-He-Yuan Scattering Equations Formalism
• Interacting Kerr-Newman Electromagnetic Fields
• The Kerr-Schild Double Copy in Lifshitz Spacetime
• Cotton Double Copy for Gravitational Waves
• NS-NS Spacetimes from Amplitudes
• Ambitwistor strings and amplitudes in curved backgrounds
• Graviton Photoproduction by a Kerr-Newman Black Hole with Worldline EFT
• On type II(D) Einstein spacetimes in six dimensions
• Ersatz gravity and black-hole thermodynamics from Manin gauge theory with noncompact gauge group
• Kerr-Schild Double Copy of the Randall-Sundrum Black String
• Residual Symmetries and Their Algebras in the Kerr-Schild Double Copy
• Weyl double copy in Lifshitz spacetimes
• Newman-Janis Algorithm from Taub-NUT Instantons