Gravitational scattering of two black holes at the fourth post-Newtonian approximation

Abstract

We compute the (center-of-mass frame) scattering angle $\chi$ of hyperboliclike encounters of two spinning black holes, at the fourth post-Newtonian approximation level for orbital effects, and at the next-to-next-to-leading order for spin-dependent effects. We find it convenient to compute the gauge-invariant scattering angle (expressed as a function of energy, orbital angular momentum and spins) by using the Effective-One-Body formalism. The contribution to scattering associated with nonlocal, tail effects is computed by generalizing to the case of unbound motions the method of time-localization of the action introduced in the case of (small-eccentricity) bound motions by Damour, Jaranowski and Schäfer [Phys.\ Rev.\ D {\bf 91}, no. 8, 084024 (2015)].

arXiv comment34 pages, n. 1 eps figure, revtex macros used

References in corpus (37)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Effective one-body approach to general relativistic two-body dynamics
• Transition from inspiral to plunge in binary black hole coalescences
• Coalescence of Two Spinning Black Holes: An Effective One-Body Approach
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
• Effective-one-body model for black-hole binaries with generic mass ratios and spins
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
• Prototype effective-one-body model for nonprecessing spinning inspiral-merger-ringdown waveforms
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Gravitational Self Force in a Schwarzschild Background and the Effective One Body Formalism
• Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling
• Fourth post-Newtonian effective one-body dynamics
• Improved effective-one-body description of coalescing nonspinning black-hole binaries and its numerical-relativity completion
• Analytical determination of the two-body gravitational interaction potential at the 4th post-Newtonian approximation
• Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation
• Conservative dynamics of two-body systems at the fourth post-Newtonian approximation of general relativity
• Gravitational radiation reaction along general orbits in the effective one-body formalism
• Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order
• Extending the effective-one-body Hamiltonian of black-hole binaries to include next-to-next-to-leading spin-orbit couplings
• The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant
• Strong-Field Scattering of Two Black Holes: Numerics Versus Analytics
• Derivation of local-in-time fourth post-Newtonian ADM Hamiltonian for spinless compact binaries
• Dimensional regularization of local singularities in the 4th post-Newtonian two-point-mass Hamiltonian
• Effective one body Hamiltonian of two spinning black-holes with next-to-next-to-leading order spin-orbit coupling
• Towards the 4th post-Newtonian Hamiltonian for two-point-mass systems
• Two-body gravitational spin-orbit interaction at linear order in the mass ratio
• Self-force corrections to the periapsis advance around a spinning black hole
• First Law of Mechanics for Compact Binaries on Eccentric Orbits
• Analytic self-force calculations in the post-Newtonian regime: eccentric orbits on a Schwarzschild background
• Confirming and improving post-Newtonian and effective-one-body results from self-force computations along eccentric orbits around a Schwarzschild black hole
• Spin-dependent two-body interactions from gravitational self-force computations
• First Law of Compact Binary Mechanics with Gravitational-Wave Tails
• Hyperbolic-like elastic scattering of spinning particles by a Schwarzschild black hole

Cited by in corpus (59)

• Black holes, gravitational waves and fundamental physics: a roadmap
• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• Self-force and radiation reaction in general relativity
• High-energy gravitational scattering and the general relativistic two-body problem
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• Observables and amplitudes for spinning particles and black holes
• Classical and quantum scattering in post-Minkowskian gravity
• Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at $O(G^4)$
• Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• Gravitational Bremsstrahlung from Reverse Unitarity
• Spinning-black-hole scattering and the test-black-hole limit at second post-Minkowskian order
• Novel approach to binary dynamics: application to the fifth post-Newtonian level
• Sixth post-Newtonian local-in-time dynamics of binary systems
• Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders
• Gravitational Bremsstrahlung in the Post-Minkowskian Effective Field Theory
• Tidal Effects in the Post-Minkowskian Expansion
• Sixth post-Newtonian nonlocal-in-time dynamics of binary systems
• Classical Gravitational Scattering at $\mathcal{O}(G^3)$ from Feynman Diagrams
• Radiative contributions to gravitational scattering
• Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
• Leading Nonlinear Tidal Effects and Scattering Amplitudes
• Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
• Testing binary dynamics in gravity at the sixth post-Newtonian level
• Gravitational spin-orbit coupling in binary systems, post-Minkowskian approximation and effective one-body theory
• Strong-field scattering of two black holes: Numerical Relativity meets Post-Minkowskian gravity
• Scattering of tidally interacting bodies in post-Minkowskian gravity
• Gravitational waves from compact binaries in post-Newtonian accurate hyperbolic orbits
• Mining the Geodesic Equation for Scattering Data
• Einstein, Planck and Vera Rubin: relevant encounters between the Cosmological and the Quantum Worlds
• Gravitational spin-orbit and aligned spin${}_1$-spin${}_2$ couplings through third-subleading post-Newtonian orders
• Radiated momentum and radiation-reaction in gravitational two-body scattering including time-asymmetric effects
• Comparison of post-Minkowskian and self-force expansions: Scattering in a scalar charge toy model
• Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
• Scalar QED as a toy model for higher-order effects in classical gravitational scattering
• Hyperbolic scattering of spinning particles by a Kerr black hole
• Post-Minkowskian Theory Meets the Spinning Effective-One-Body Approach for Two-Body Scattering
• Renormalizing Love: tidal effects at the third post-Newtonian order
• Gravitational Bound Waveforms from Amplitudes
• Higher-order tail contributions to the energy and angular momentum fluxes in a two-body scattering process
• Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime
• Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
• Radiative Classical Gravitational Observables at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Third order post-Newtonian gravitational radiation from two-body scattering: Instantaneous energy and angular momentum radiation
• Mapping eccentricity evolutions between numerical relativity and effective-one-body gravitational waveforms
• Third post-Newtonian gravitational radiation from two-body scattering II. Hereditary Energy radiation
• Conservative Scattering of Reissner-Nordström Black Holes at Third Post-Minkowskian Order
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
• Can Two Ultrarelativistic Objects Lose Almost All Their Energy to Gravitational Radiation?
• High-energy hyperbolic scattering by neutron stars and black holes
• Black hole geodesic parallel transport and the Marck recipe for isolating cumulative precession effects
• Mass octupole and current quadrupole corrections to gravitational wave emission from close hyperbolic encounters
• Scattering of uncharged particles in the field of two extremely charged black holes
• Quasi-Keplerian parametrization for compact binaries on hyperbolic orbits in scalar-tensor theories at second post-Newtonian order
• The Eikonal Approximation and the Gravitational Dynamics of Binary Systems
• High-order effective-one-body tidal interactions and gravitational scattering
• Frequency domain analysis of the gravitational wave energy loss in hyperbolic encounters
• Energetics and scattering of gravitational two-body systems at fourth post-Minkowskian order