Note on the asymptotic structure of Kerr-Schild form

Abstract

The Kerr-Schild form provides a natural way of realizing the classical double copy that relates exact solutions in general relativity to exact solutions in gauge theory. In this paper, we examine the asymptotic structure of Kerr-Schild form. In Newman-Unti gauge, we find a generic solution space satisfying the Kerr-Schild form in series expansion around null infinity. The news function in the solution space is chiral and can not lead to a mass loss formula. A class of asymptotically flat complex pp-wave solutions in closed form is obtained from the solution space.

arXiv commentv2: refs added, interpretations about several issues improved v3: refs added, major revision, published in JHEP

References in corpus (52)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• New Relations for Gauge-Theory Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• String Solitons
• Aspects of the BMS/CFT correspondence
• Black holes and the double copy
• The classical double copy for Taub-NUT spacetime
• Kerr Black Holes as Elementary Particles
• The double copy: Bremsstrahlung and accelerating black holes
• Charged Rotating Black Holes in Four-Dimensional Gauged and Ungauged Supergravities
• The Kerr-Schild double copy in curved spacetime
• The Duality Between Color and Kinematics and its Applications
• Type D Spacetimes and the Weyl Double Copy
• Spinning particles, axion radiation, and the classical double copy
• The self-dual classical double copy, and the Eguchi-Hanson instanton
• Scattering Amplitudes
• Finite BMS transformations
• A Twistorial Foundation for the Classical Double Copy
• BMS Supertranslations and Not So Soft Gravitons
• Vacua of the gravitational field
• Exact solutions for the biadjoint scalar field
• Kerr-Schild Double Field Theory and Classical Double Copy
• The Weyl Double Copy for Gravitational Waves
• Classical Solutions and their Double Copy in Split Signature
• The classical double copy of non-singular black holes
• The Classical Double Copy of a Point Charge
• A double copy for asymptotic symmetries in the self-dual sector
• Gravitational radiation from the classical spinning double copy
• The Newman-Penrose Map and the Classical Double Copy
• On the Double Copy for Spinning Matter
• Classical double copy at null infinity
• Kerr-Schild Double Copy and Complex Worldlines
• Coadjoint representation of the BMS group on celestial Riemann surfaces
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• Classical Double Copy: Kerr-Schild-Kundt metrics from Yang-Mills Theory
• Asymptotic Weyl Double Copy
• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• Back-reaction on background fields: a coherent state approach
• MHV scattering of gluons and gravitons in chiral strong fields
• ALE Instantons in String Effective Theory
• Classical double copy from Color Kinematics duality: A proof in the soft limit
• The double copy of the multipole expansion
• Geodesics From Classical Double Copy
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• More on the Classical Double Copy in Three Spacetime Dimensions
• $\mathcal{N}=1$ Supersymmetric Double Field Theory and the generalized Kerr-Schild Ansatz
• Higher-derivative Heterotic Double Field Theory and Classical Double Copy
• Measuring Color Memory in a Color Glass Condensate at Electron-Ion Colliders
• Asymptotic Structure of Einstein-Maxwell-Dilaton Theory and Its Five Dimensional Origin
• The Classical Double Copy for Half-Maximal Supergravities and T-duality
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar

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• Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity
• Notes on self-dual gravity
• Kerr-Schild Tetrads and the Nijenhuis Tensor