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arXiv · 1403.0378

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

Guoqing Huang·Xiaoting Ni·Xin Wu
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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.

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Guoqing Huang, Xiaoting Ni, Xin Wu. 2014-03-03. Chaos in two black holes with next-to-leading order spin-spin interactions. https://doi.org/10.1140/epjc%2Fs10052-014-3012-2

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