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

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

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.

Keywords: pseudo-Newtonian potential Kerr black hole chaos

Received: 18 November 2011
Revised: 27 April 2012
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	04.70.-s	(Physics of black holes)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10873007, 11173012, and 11178002).

Cite this article:

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

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

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