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

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Cited by in corpus (35)

• 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
• A Twistorial Foundation for the Classical Double Copy
• A worldsheet for Kerr
• Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
• A double copy for $\mathcal{N}=2$ supergravity: a linearised tale told on-shell
• The Classical Double Copy of a Point Charge
• Extended solutions for the biadjoint scalar field
• Twofold Symmetries of the Pure Gravity Action
• Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
• Kerr-Newman from Minimal Coupling
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• Strings, extended objects, and the classical double copy
• Celestial holography on Kerr-Schild backgrounds
• Loop-Level Double-Copy for Massive Quantum Particles
• Relations for Einstein-Yang-Mills amplitudes from the CHY representation
• Alternative formulations of the twistor double copy
• Conformal Gravity from Gauge Theory
• Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
• On the Lagrangian formulation of the double copy to cubic order
• Graviton and gluon scattering from first principles
• More on the Classical Double Copy in Three Spacetime Dimensions
• Generalised Schwarzschild metric from double copy of point-like charge solution in Born-Infeld theory
• Classical and quantum gravitational scattering with Generalized Wilson Lines
• A spinorial double copy for $\mathcal{N}=0$ supergravity
• BRST Symmetry and the Convolutional Double Copy
• Asymptotic freedom from the two loop term of the $\beta$-function in a cubic theory
• The double copy: from optics to quantum gravity
• Fermions and the scattering equations
• Massive Covariant Colour-Kinematics in 3D
• Self-dual gravity via Hitchin's equations
• Sudakov Representation of the Cachazo-He-Yuan Scattering Equations Formalism
• Quantum point particle approximation of spinning black holes and compact stars
• Ambitwistor strings and amplitudes in curved backgrounds