Scattering Angles in Kerr Metrics

Abstract

Scattering angles for probes in Kerr metrics are derived for scattering in the equatorial plane of the black hole. We use a method that naturally resums all orders in the spin of the Kerr black hole, thus facilitating comparisons with scattering-angle computations based on the Post-Minkowskian expansion from scattering amplitudes or worldline calculations. We extend these results to spinning black-hole probes up to and including second order in the probe spin and any order in the Post- Minkowskian expansion, for probe spins aligned with the Kerr spin. When truncating to third Post-Minkowskian order, our results agree with those obtained by amplitude and worldline methods.

arXiv comment18 pages, 3 tables

References in corpus (72)

• An Effective Field Theory of Gravity for Extended Objects
• 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
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• Post-Newtonian corrections to the motion of spinning bodies in NRGR
• High-energy gravitational scattering and the general relativistic two-body problem
• 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
• Radiation and the classical double copy for color charges
• Classical black hole scattering from a worldline quantum field theory
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• From Boundary Data to Bound States
• Observables and amplitudes for spinning particles and black holes
• Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings
• Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
• The simplest massive S-matrix: from minimal coupling to Black Holes
• Black-hole scattering with general spin directions from minimal-coupling amplitudes
• Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory
• Kerr Black Holes as Elementary Particles
• The Eikonal Approach to Gravitational Scattering and Radiation at $\mathcal{O}(G^3)$
• Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
• Radiative contribution to classical gravitational scattering at the third order in $G$
• On Post-Minkowskian Hamiltonians in General Relativity
• On-shell heavy particle effective theories
• Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
• Holomorphic Classical Limit for Spin Effects in Gravitational and Electromagnetic Scattering
• Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• Universality of ultra-relativistic gravitational scattering
• Spinning-black-hole scattering and the test-black-hole limit at second post-Minkowskian order
• Radiation Reaction from Soft Theorems
• Heavy Black Hole Effective Theory
• Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
• Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order
• Gravitational Bremsstrahlung in the Post-Minkowskian Effective Field Theory
• Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
• SUSY in the Sky with Gravitons
• Cubic order spin effects in the dynamics and gravitational wave energy flux of compact object binaries
• On an Exponential Representation of the Gravitational S-Matrix
• Post-Minkowskian Scattering Angle in Einstein Gravity
• Classical Gravity from Loop Amplitudes
• Complete Hamiltonian for spinning binary systems at first post-Minkowskian order
• Quadratic-in-Spin Hamiltonian at $\mathcal{O}(G^2)$ from Scattering Amplitudes
• Multipolar equations of motion for extended test bodies in General Relativity
• Compton Black-Hole Scattering for $s\le 5/2$
• Classical potential for general spinning bodies
• Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory
• A worldsheet for Kerr
• The 2PM Hamiltonian for binary Kerr to quartic in spin
• Canonical Formulation of Spin in General Relativity
• Canonical Hamiltonian for an extended test body in curved spacetime: To quadratic order in spin
• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
• Mining the Geodesic Equation for Scattering Data
• Hyperspectral Pixel Unmixing with Latent Dirichlet Variational Autoencoder
• Radiation reaction for spinning black-hole scattering
• Test black holes, scattering amplitudes and perturbations of Kerr spacetime
• The double copy for heavy particles
• Gravitational bremsstrahlung from spinning binaries in the post-Minkowskian expansion
• Post-Minkowskian Radial Action from Soft Limits and Velocity Cuts
• Exponentiation of the leading eikonal with spin
• Eikonal amplitudes from curved backgrounds
• Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion
• Kerr-Newman stress-tensor from minimal coupling
• Chiral approach to massive higher spins
• Hyperbolic scattering of spinning particles by a Kerr black hole
• Remodeling the Effective One-Body Formalism in Post-Minkowskian Gravity
• Quantum corrections to frame-dragging in scattering amplitudes
• Classical gravitational scattering from a gauge-invariant double copy

Cited by in corpus (18)

• Resummed spinning waveforms from five-point amplitudes
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• Spinning waveforms from KMOC at leading order
• Classical gravitational scattering at $\mathcal{O}(G^2{S}_1^{\infty }{S}_2^{\infty })$
• Boundary to bound dictionary for generic Kerr orbits
• Scattering and bound observables for spinning particles in Kerr spacetime with generic spin orientations
• Observables from the Spinning Eikonal
• All order gravitational waveforms from scattering amplitudes
• A Rutherford-like formula for scattering off Kerr-Newman BHs and subleading corrections
• First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• Massive twistor worldline in electromagnetic fields
• Charged test-particle scattering and effective one-body metrics with spin
• The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering
• Strong Field Scattering of Two Black Holes: Exploring Gauge Flexibility
• Dynamics for Super-Extremal Kerr Binary Systems at $\mathcal{O}(G^2)$
• Gravitational multipoles from scattering amplitudes in higher dimensions
• Unexpected Symmetries of Kerr Black Hole Scattering