Resonant Islands of Effective-One-Body Dynamics
arXiv:2206.10966 · doi:10.1103/PhysRevD.106.084064
Abstract
We study the chaotic signatures of the geodesic dynamics of a non-spinning test particle in the effective-one-body (EOB) formalism for the inspiral process of spinning binary black holes. We first show that the second order post-Newtonian (2PN) EOB dynamics is non-integrable by demonstrating that the EOB metric does not satisfy the criterion for the existence of Carter constant. We then employ the numerical study to find the plateaus of the rotation curve, which are associated with the existence of Birkhoff islands in the Poincaré surface of section, signifying the chaotic dynamics in the system. Our results show the signatures of chaos for the EOB dynamics, especially in the regime of interest for which the Kerr bounds of the component black holes hold. We also find that chaotic behavior is more obvious as the spin parameter of the deformed EOB background metric increases. Our results can help to uncover the implications of dynamical chaos in gravitational wave astronomy. Finally, we also present some preliminary results due to corrections at 3PN order.
arXiv comment19 pages, 11 figures. Improvements and references added. Accepted for publication in Phys. Rev. D
References in corpus (57)
- Effective one-body approach to general relativistic two-body dynamics
- Coalescence of Two Spinning Black Holes: An Effective One-Body Approach
- On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
- Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
- An improved effective-one-body Hamiltonian for spinning black-hole binaries
- Black holes, hidden symmetries, and complete integrability
- Chaos in Schwarzschild Spacetime : The Motion of a Spinning Particle
- Hamiltonian of a spinning test-particle in curved spacetime
- A waveform model for eccentric binary black hole based on effective-one-body-numerical-relativity (EOBNR) formalism
- Observable Properties of Orbits in Exact Bumpy Spacetimes
- Gravity Waves, Chaos, and Spinning Compact Binaries
- Transient resonances in the inspirals of point particles into black holes
- Extending the effective-one-body Hamiltonian of black-hole binaries to include next-to-next-to-leading spin-orbit couplings
- Post-Newtonian accurate parametric solution to the dynamics of spinning compact binaries in eccentric orbits: The leading order spin-orbit interaction
- How to observe a non-Kerr spacetime
- Dynamics of spinning test particles in Kerr spacetime
- An observable signature of a background deviating from Kerr
- Lyapunov timescales and black hole binaries
- Chaos and dynamics of spinning particles in Kerr spacetime
- A survey of spinning test particle orbits in Kerr spacetime
- Gravitational-wave glitches in chaotic extreme-mass-ratio inspirals
- Spinning test-body orbiting around Schwarzschild black hole: circular dynamics and gravitational-wave fluxes
- The dynamics of precessing binary black holes using the post-Newtonian approximation
- The non-integrability of the Zipoy-Voorhees metric
- Preserving Kerr symmetries in deformed spacetimes
- Testing spacetime symmetry through gravitational waves from extreme-mass-ratio inspirals
- Symplectic structure of post-Newtonian Hamiltonian for spinning compact binaries
- Growth of resonances and chaos for a spinning test particle in the Schwarzschild background
- Spinning test-body orbiting around a Kerr black hole: circular dynamics and gravitational-wave fluxes
- Revisit on "Ruling out chaos in compact binary systems"
- The fate of chaotic binaries
- The Astrophysics of Resonant Orbits in the Kerr Metric
- Ruling Out Chaos in Compact Binary Systems
- Gravitational-wave glitches: resonant islands and frequency jumps in non-integrable extreme-mass-ratio inspirals
- Spinning test body orbiting around a Kerr black hole: Eccentric equatorial orbits and their asymptotic gravitational-wave fluxes
- Comment on "Ruling out chaos in compact binary systems"
- Chaos and Gravitational Waves
- Orbits in a non-Kerr Dynamical System
- Orbital resonances around Black holes
- Search for black hole hyperbolic encounters with gravitational wave detectors
- Gravitational Waves from Chaotic Dynamical System
- The deterministic nature of conservative post-Newtonian accurate dynamics of compact binaries with leading order spin-orbit interaction
- Chaos in two black holes with next-to-leading order spin-spin interactions
- Second post-Newtonian Lagrangian dynamics of spinning compact binaries
- The dynamics of a spinning particle in a linear in spin Hamiltonian approximation
- Integrability of eccentric, spinning black hole binaries up to second post-Newtonian order
- Adiabatic equatorial inspirals of a spinning body into a Kerr black hole
- Complete set of quasi-conserved quantities for spinning particles around Kerr
- The exact dynamical Chern Simons metric for a spinning black hole possesses a fourth constant of motion: A Dynamical-Systems-Based Conjecture
- Spinning test body orbiting around a Schwarzschild black hole: Comparing Spin Supplementary Conditions for Circular Equatorial Orbits
- Chaotic orbits for spinning particles in Schwarzschild spacetime
- Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise
- Analytical effective-one-body formalism for extreme-mass-ratio inspirals: eccentric orbits
- Geometrized effective-one-body formalism for extreme-mass-ratio limits: Generic orbits
- Comment on "Gravity Waves, Chaos, and Spinning Compact Binaries"
- Analytic Keplerian-type parametrization for general spinning compact binaries with the leading order spin-orbit interaction
- Spinning test body orbiting around a Kerr black hole: Comparing Spin Supplementary Conditions for Circular Equatorial Orbits
Cited by in corpus (5)
- Extreme-mass-ratio inspirals into rotating boson stars: nonintegrability, chaos, and transient resonances
- Geodesics and gravitational waves in chaotic extreme-mass-ratio inspirals: the curious case of Zipoy-Voorhees black-hole mimickers
- Slowly-rotating compact objects: the nonintegrability of Hartle-Thorne particle geodesics
- Resonant orbits of rotating black holes beyond circularity: Discontinuity along parameter shift
- Resonant excitation of eccentricity in spherical extreme-mass-ratio inspirals