A worldsheet for Kerr

Abstract

We show that the Newman-Janis shift property of the exact Kerr solution can be interpreted in terms of a worldsheet effective action. This holds both in gravity, and for the single-copy $\sqrt{\text{Kerr}}$ solution in electrodynamics. At the level of equations of motion, we show that the Newman-Janis shift holds also for the leading interactions of the Kerr black hole. These leading interactions are conveniently described using chiral classical equations of motion with the help of the spinor-helicity method familiar from scattering amplitudes.

18 pages + appendices + references, 1 figure; v3: minor corrections, journal version

References in corpus (59)

• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Amplitudes, Observables, and Classical Scattering
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• The Effective Field Theorist's Approach to Gravitational Dynamics
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• Black holes and the double copy
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• General Relativity from Scattering Amplitudes
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics
• Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach
• Classical Space-Times from the S Matrix
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Radiation and the classical double copy for color charges
• Classical black hole scattering from a worldline quantum field theory
• From Boundary Data to Bound States
• Observables and amplitudes for spinning particles and black holes
• The simplest massive S-matrix: from minimal coupling to Black Holes
• Black-hole scattering with general spin directions from minimal-coupling amplitudes
• On-shell Techniques and Universal Results in Quantum Gravity
• Kerr Black Holes as Elementary Particles
• Spinning gravitating objects in the effective field theory in the post-Newtonian scheme
• Perturbative spacetimes from Yang-Mills theory
• The double copy: Bremsstrahlung and accelerating black holes
• On-shell heavy particle effective theories
• Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
• Inelastic Black Hole Scattering from Charged Scalar Amplitudes
• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• Universality of ultra-relativistic gravitational scattering
• Color-Kinematics Duality for QCD Amplitudes
• Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
• Heavy Black Hole Effective Theory
• Double copy for massive quantum particles with spin
• Gravitational Radiation from Color-Kinematics Duality
• Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order
• Spinning particles, axion radiation, and the classical double copy
• Tidal Effects in the Post-Minkowskian Expansion
• Post-Minkowskian Scattering Angle in Einstein Gravity
• Complete Hamiltonian for spinning binary systems at first post-Minkowskian order
• Second-order Post-Minkowskian scattering in arbitrary dimensions
• Leading order finite size effects with spins for inspiralling compact binaries
• Classical potential for general spinning bodies
• Logarithmic Terms in the Soft Expansion in Four Dimensions
• Tidal effects in quantum field theory
• Equations of Motion for Spinning Particles in External\\Electromagnetic and Gravitational Fields
• Classical Yang-Mills observables from amplitudes
• Gravity Waves from Soft Theorem in General Dimensions
• On higher-derivative effects on the gravitational potential and particle bending
• Gravitational radiation from the classical spinning double copy
• The double copy for heavy particles
• Kerr-Newman from Minimal Coupling
• Tidal effects for spinning particles
• Classical Sub-subleading Soft Photon and Soft Graviton Theorems in Four Spacetime Dimensions
• Gravitational shock waves and scattering amplitudes
• NLO gravitational quartic-in-spin interaction
• Kerr-Newman stress-tensor from minimal coupling
• Scattering Amplitudes, Black Holes and Leading Singularities in Cubic Theories of Gravity
• Asymptotic dynamics on the worldline for spinning particles
• Gravitational Dyonic Amplitude at One-Loop and its Inconsistency with the Classical Impulse

Cited by in corpus (59)

• Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory
• A novel family of rotating black hole mimickers
• Gravitational Bremsstrahlung from Reverse Unitarity
• Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
• SUSY in the Sky with Gravitons
• One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory
• Quadratic-in-Spin Hamiltonian at $\mathcal{O}(G^2)$ from Scattering Amplitudes
• Compton Black-Hole Scattering for $s\le 5/2$
• Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory
• Ladder Symmetries of Black Holes: Implications for Love Numbers and No-Hair Theorems
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Classical Solutions and their Double Copy in Split Signature
• Classical observables from coherent-spin amplitudes
• Shifting Spin on the Celestial Sphere
• Resummed spinning waveforms from five-point amplitudes
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• Classical Double Copy of Worldline Quantum Field Theory
• Scattering Angles in Kerr Metrics
• Exponentiation of the leading eikonal with spin
• Eikonal amplitudes from curved backgrounds
• Quasinormal modes-shadow correspondence for rotating regular black holes
• Celestial holography on Kerr-Schild backgrounds
• Double Field Theory as the Double Copy of Yang-Mills
• Scalar QED as a toy model for higher-order effects in classical gravitational scattering
• Asymptotic Weyl Double Copy
• Classical Spin Gravitational Compton Scattering
• Classical Limit of Higher-Spin String Amplitudes
• Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework
• Chiral approach to massive higher spins
• Gravitational Quadratic-in-Spin Hamiltonian at NNNLO in the post-Newtonian framework
• Black Holes in Klein Space
• Classical gravitational scattering at $\mathcal{O}(G^2{S}_1^{\infty }{S}_2^{\infty })$
• Bethe-Salpeter equation for classical gravitational bound states
• The double copy of the multipole expansion
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• Geodesics From Classical Double Copy
• The single copy of the gravitational holonomy
• Kinematic Hopf algebra for amplitudes and form factors
• Classical and quantum gravitational scattering with Generalized Wilson Lines
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
• Massive twistor worldline in electromagnetic fields
• Radiative Classical Gravitational Observables at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• The Reissner-Nordström-Tangherlini solution from scattering amplitudes of charged scalars
• Charged test-particle scattering and effective one-body metrics with spin
• Massive spin three-half field in a constant electromagnetic background
• Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm
• Classical Observables using Exponentiated Spin factors: Electromagnetic Scattering
• Kaehler geometry of black holes and gravitational instantons
• Hawking radiation from the double copy
• The Weyl double copy from twistor space
• Slowly rotating charges from Weyl double copy for Kerr black hole with Chern-Simons correction
• Complex conformal transformations and zero-rest-mass fields
• The Radial Action from Probe Amplitudes to All Orders
• Unexpected Symmetries of Kerr Black Hole Scattering
• Geodesic deviation to all orders via a tangent bundle formalism
• Classical string profile for a class of DDF amplitudes
• NS-NS Spacetimes from Amplitudes
• Newman-Janis Algorithm from Taub-NUT Instantons