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 (8)

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Cited by in corpus (5)

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• Extended phase-space symplectic-like integrators for coherent post-Newtonian Euler-Lagrange equations
• Energy-conserving integrator for conservative Hamiltonian systems with ten-dimensional phase space
• Resonant Islands of Effective-One-Body Dynamics