Chaos in two black holes with next-to-leading order spin-spin interactions

Abstract

We take into account the dynamics of a complete third post-Newtonian conservative Hamiltonian of two spinning black holes, where the orbital part arrives at the third post-Newtonian precision level and the spin-spin part with the spin-orbit part includes the leading-order and next-to-leading-order contributions. It is shown through numerical simulations that the next-to-leading order spin-spin couplings play an important role in chaos. A dynamical sensitivity to the variation of single parameter is also investigated. In particular, there are a number of \textit{observable} orbits whose initial radii are large enough and which become chaotic before coalescence.

References in corpus (22)

• Transition from inspiral to plunge in precessing binaries of spinning black holes
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. II. Two-body equations of motion to second post-Newtonian order, and radiation-reaction to 3.5 post-Newtonian order
• Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling
• Gravity Waves, Chaos, and Spinning Compact Binaries
• Lyapunov indices with two nearby trajectories in a curved spacetime
• Binary dynamics from spin1-spin2 coupling at fourth post-Newtonian order
• Post-Newtonian accurate parametric solution to the dynamics of spinning compact binaries in eccentric orbits: The leading order spin-orbit interaction
• The next-to-leading order gravitational spin(1)-spin(2) dynamics in Hamiltonian form
• Computation of Lyapunov Exponents in General Relativity
• Effective one body Hamiltonian of two spinning black-holes with next-to-next-to-leading order spin-orbit coupling
• Higher-order-in-spin interaction Hamiltonians for binary black holes from Poincaré invariance
• Resurvey of order and chaos in spinning compact binaries
• The dynamics of precessing binary black holes using the post-Newtonian approximation
• Symplectic structure of post-Newtonian Hamiltonian for spinning compact binaries
• Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries
• Revisit on "Ruling out chaos in compact binary systems"
• Chaos and Order in Models of Black Hole Pairs
• The fate of chaotic binaries
• Ruling Out Chaos in Compact Binary Systems
• Comment on "Ruling out chaos in compact binary systems"
• The deterministic nature of conservative post-Newtonian accurate dynamics of compact binaries with leading order spin-orbit interaction

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• A note on the equivalence of Lagrangian and Hamiltonian formulations at post-Newtonian approximations
• Energy-conserving integrator for conservative Hamiltonian systems with ten-dimensional phase space
• Relativistic chaos in the anisotropic harmonic oscillator
• Resonant Islands of Effective-One-Body Dynamics
• GPU accelerated manifold correction method for spinning compact binaries