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

被引:31
作者
Huang, Guoqing [1 ]
Ni, Xiaoting [1 ]
Wu, Xin [1 ]
机构
[1] Nanchang Univ, Dept Phys, Nanchang 330031, Peoples R China
来源
EUROPEAN PHYSICAL JOURNAL C | 2014年 / 74卷 / 08期
关键词
LYAPUNOV EXPONENTS; COMPACT BINARIES;
D O I
10.1140/epjc/s10052-014-3012-2
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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.
引用
收藏
页码:1 / 8
页数:8
相关论文
共 31 条
[1]   Transition from inspiral to plunge in precessing binaries of spinning black holes [J].
Buonanno, Alessandra ;
Chen, Yanbei ;
Damour, Thibault .
PHYSICAL REVIEW D, 2006, 74 (10)
[2]   Comment on "Ruling out chaos in compact binary systems" [J].
Cornish, NJ ;
Levin, J .
PHYSICAL REVIEW LETTERS, 2002, 89 (17)
[3]   Chaos and damping in the post-Newtonian description of spinning compact binaries [J].
Cornish, NJ ;
Levin, J .
PHYSICAL REVIEW D, 2003, 68 (02)
[4]   Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling [J].
Damour, Thibault ;
Jaranowski, Piotr ;
Schaefer, Gerhard .
PHYSICAL REVIEW D, 2008, 77 (06)
[5]   Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling [J].
Damour, Thibault ;
Jaranowski, Piotr ;
Schaefer, Gerhard .
PHYSICAL REVIEW D, 2008, 78 (02)
[6]   On the structure of symplectic mappings.: The fast Lyapunov indicator:: A very sensitive tool [J].
Froeschlé, C ;
Lega, E .
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2000, 78 (1-4) :167-195
[7]   Deterministic nature of conservative post-Newtonian accurate dynamics of compact binaries with leading order spin-orbit interaction -: art. no. 121501 [J].
Gopakumar, A ;
Königsdörffer, C .
PHYSICAL REVIEW D, 2005, 72 (12)
[8]   Dynamics of precessing binary black holes using the post-Newtonian approximation [J].
Hartl, MD ;
Buonanno, A .
PHYSICAL REVIEW D, 2005, 71 (02) :024027-1
[9]   Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries [J].
Hartung, Johannes ;
Steinhoff, Jan .
ANNALEN DER PHYSIK, 2011, 523 (11) :919-924
[10]   Higher-order-in-spin interaction Hamiltonians for binary black holes from Poincare invariance [J].
Hergt, Steven ;
Schaefer, Gerhard .
PHYSICAL REVIEW D, 2008, 78 (12)