Dynamics for Super-Extremal Kerr Binary Systems at $\mathcal{O}(G^2)$

Abstract

Using the recently derived higher spin gravitational Compton amplitude from low-energy analytically continued ($a/Gm\gg 1$) solutions of the Teukolsky equation for the scattering of a gravitational wave off the Kerr black hole, observables for non-radiating super-extremal Kerr binary systems at second post-Minkowskian (PM) order and up to sixth order in spin are computed. The relevant 2PM amplitude is obtained from the triangle-leading singularity in conjunction with a generalization of the holomorphic classical limit for massive particles with spin oriented in generic directions. Explicit results for the 2PM eikonal phase written for both Covariant and Canonical spin supplementary conditions -- CovSSC and CanSSC respectively -- as well as the 2PM linear impulses and individual spin kicks in the CanSSC are presented. The observables reported in this letter are expressed in terms of generic contact deformations of the gravitational Compton amplitude, which can then be specialized to Teukolsky solutions. In the latter case, the resulting 2PM observables break the newly proposed spin-shift symmetry of the 2PM amplitude starting at the fifth order in spin. Aligned spin checks as well as the high energy behavior of the computed observables are discussed.

arXiv commentv2: Typos and transcription errors in the last row of Table 1 fixed v3: Version to appear in PRD. Typos fixed, ancillary files updated for the exotic contributions to the observables and eikonal phase

References in corpus (48)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• 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
• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Amplitudes, Observables, and Classical Scattering
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• Analytic black hole perturbation approach to gravitational radiation
• Direct extraction of one-loop integral coefficients
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Transition from inspiral to plunge in precessing binaries of spinning black holes
• Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• Classical and quantum scattering in post-Minkowskian gravity
• Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at $O(G^4)$
• Dissipative Effects in the Worldline Approach to Black Hole Dynamics
• Spinning gravitating objects in the effective field theory in the post-Newtonian scheme
• Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
• Radiation Reaction and Gravitational Waves at Fourth Post-Minkowskian Order
• Absorption of mass and angular momentum by a black hole: Time-domain formalisms for gravitational perturbations, and the small-hole/slow-motion approximation
• Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
• Absorption Effects due to Spin in the Worldline Approach to Black Hole Dynamics
• Spinning particles, axion radiation, and the classical double copy
• Scattering Amplitudes For All Masses and Spins
• Compton Black-Hole Scattering for $s\le 5/2$
• Next-to-next-to-leading order gravitational spin-squared potential via the effective field theory for spinning objects in the post-Newtonian scheme
• Post-Newtonian Expansion of Gravitational Waves from a Particle in Circular Orbits around a Rotating Black Hole :Effects of Black Hole Absorption
• Classical gravitational spinning-spinless scattering at $\mathcal{O}(G^2{S}^{\infty })$
• High Energy Scattering in Perturbative Quantum Gravity at Next to Leading Power
• Gravitational spin-orbit coupling in binary systems, post-Minkowskian approximation and effective one-body theory
• The 2PM Hamiltonian for binary Kerr to quartic in spin
• A tale of two exponentiations in $\mathcal{N}=8$ supergravity
• Tidal heating and torquing of a Kerr black hole to next-to-leading order in the tidal coupling
• Gravitational radiation from inspiralling compact objects: Spin effects to fourth Post-Newtonian order
• Wilson line approach to gravity in the high energy limit
• Gravitational spin-orbit coupling through third-subleading post-Newtonian order: from first-order self-force to arbitrary mass ratios
• Radiation reaction for spinning bodies in effective field theory I: Spin-orbit effects
• Gravitational spin-orbit and aligned spin${}_1$-spin${}_2$ couplings through third-subleading post-Newtonian orders
• Scattering Angles in Kerr Metrics
• Improved next-to-leading order tidal heating and torquing of a Kerr black hole
• Complete conservative dynamics for inspiralling compact binaries with spins at the fourth post-Newtonian order
• Kerr Black Holes From Massive Higher-Spin Gauge Symmetry
• Scattering in Black Hole Backgrounds and Higher-Spin Amplitudes: Part I
• Radiation and Reaction at One Loop
• Scattering in Black Hole Backgrounds and Higher-Spin Amplitudes: Part II
• All Things Retarded: Radiation-Reaction in Worldline Quantum Field Theory
• Theoretical groundwork supporting the precessing-spin two-body dynamics of the effective-one-body waveform models SEOBNRv5
• Kerr binary dynamics from minimal coupling and double copy