Regular Article - Theoretical Physics
Chaos in two black holes with next-to-leading order spin–spin interactions
Department of Physics, Nanchang University, Nanchang, 330031, China
* e-mail: firstname.lastname@example.org
Accepted: 29 July 2014
Published online: 13 August 2014
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 some cases. In particular, there are a number of observable orbits whose initial radii are large enough and which are chaotic before coalescence.
© SIF and Springer-Verlag Berlin Heidelberg, 2014