Abstract
In this paper, the orbital dynamics of the gravitational field in Bardeen space-time are investigated. The equations of the particle’s orbital motion are given by solving the Lagrangian equation, and the stability and types of orbits are studied by means of analysing the effective potential of particles. Also, with the help of phase-plane method, the closed and non-closed orbits of test particle are analysed. We find that the stability and types of orbits in the Bardeen space-time are determined not only by the particles’ energy but also by the angular momentum. And for q=0.5M and b<3.3731M, absorbed by the black hole is the only fate of the test particle. We also find that the position of the innermost stable circular orbit of Bardeen black hole occurs at r min =5.5722M.
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Acknowledgements
This work was supported in part by the Talent Cultivation Foundation of Kunming University of Science and Technology under Grant No. KKSY201207053. Yu Zhang would like to acknowledge the support of the working Funds of the Introduced High-level Talents of Yunnan Province from the Department of Human Resources and Social Security of Yunnan Province.
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Zhang, Y., Li, E. & Geng, J. Orbital dynamics of the gravitational field in Bardeen space-time. Astrophys Space Sci 351, 665–669 (2014). https://doi.org/10.1007/s10509-014-1866-2
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DOI: https://doi.org/10.1007/s10509-014-1866-2