Dynamics of particles around a pseudo-Newtonian Kerr black hole with halos

doi:10.1088/1674-1056/21/5/050504

中国物理B ›› 2012, Vol. 21 ›› Issue (5): 50504-050504.doi: 10.1088/1674-1056/21/5/050504

Dynamics of particles around a pseudo-Newtonian Kerr black hole with halos

王颖,伍歆

Department of Physics, Nanchang University, Nanchang 330031, China

收稿日期:2011-11-18 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10873007, 11173012, and 11178002).

Dynamics of particles around a pseudo-Newtonian Kerr black hole with halos

Wang Ying(王颖) and Wu Xin(伍歆)^†

Department of Physics, Nanchang University, Nanchang 330031, China

Received:2011-11-18 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10873007, 11173012, and 11178002).

摘要/Abstract

摘要： The regular and chaotic dynamics of test particles in a superposed field between a pseudo-Newtonian Kerr black hole and quadrupolar halos is detailed. In particular, the dependence of dynamics on the quadrupolar parameter of the halos and the spin angular momentum of the rotating black hole is studied. It is found that the small quadrupolar moment, in contrast with the spin angular momentum, does not have a great effect on the stability and radii of the innermost stable circular orbits of these test particles. In addition, chaos mainly occurs for small absolute values of the rotating parameters, and does not exist for the maximum counter-rotating case under some certain initial conditions and parameters. This means that the rotating parameters of the black hole weaken the chaotic properties. It is also found that the counter-rotating system is more unstable than the co-rotating one. Furthermore, chaos is absent for small absolute values of the quadrupoles, and the onset of chaos is easier for the prolate halos than for the oblate ones.

关键词: pseudo-Newtonian potential, Kerr black hole, chaos

Abstract: The regular and chaotic dynamics of test particles in a superposed field between a pseudo-Newtonian Kerr black hole and quadrupolar halos is detailed. In particular, the dependence of dynamics on the quadrupolar parameter of the halos and the spin angular momentum of the rotating black hole is studied. It is found that the small quadrupolar moment, in contrast with the spin angular momentum, does not have a great effect on the stability and radii of the innermost stable circular orbits of these test particles. In addition, chaos mainly occurs for small absolute values of the rotating parameters, and does not exist for the maximum counter-rotating case under some certain initial conditions and parameters. This means that the rotating parameters of the black hole weaken the chaotic properties. It is also found that the counter-rotating system is more unstable than the co-rotating one. Furthermore, chaos is absent for small absolute values of the quadrupoles, and the onset of chaos is easier for the prolate halos than for the oblate ones.

Key words: pseudo-Newtonian potential, Kerr black hole, chaos

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

04.70.-s (Physics of black holes)

王颖,伍歆. Dynamics of particles around a pseudo-Newtonian Kerr black hole with halos[J]. 中国物理B, 2012, 21(5): 50504-050504.

Wang Ying(王颖) and Wu Xin(伍歆) . Dynamics of particles around a pseudo-Newtonian Kerr black hole with halos[J]. Chin. Phys. B, 2012, 21(5): 50504-050504.

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Dynamics of particles around a pseudo-Newtonian Kerr black hole with halos

Dynamics of particles around a pseudo-Newtonian Kerr black hole with halos

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