Geodesic Structure of a Non-linear Magnetic Charged Black Hole Surrounded by Quintessence |
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Authors: | Li-Li Shi Jian-Ping Hu Yu Zhang Chen Ma Peng-Fei Duan |
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Institution: | 1. Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China;2. Geological Resources and Geological Engineering Postdoctoral Programme, University of Science and Technology,Kunming 650093, China;3. City College, Kunming University of Science and Technology, Kunming 650051, China |
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Abstract: | This paper aims to investigate the geodesic motion in the spacetime of a non-linear magnetic charged black hole surrounded by quintessence. By varying the Lagrangian corresponding to the metric, the orbital motion equation has been obtained. The effects of the magnetic charge $Q$, positive normalization factor $C$, angular momentum $b$, and energy $E$ on time-like and null geodesic motion are discussed from three aspects: orbital stability, orbital types, and circular orbits. By comparing the effects of the above parameters $C$, $b$ on the effective potential, it is found that quintessence has an impact on the types and stability of orbits. In addition, for time-like orbital motion, when $3.443113\leq b\leq6.392\,578$ (for fixed $C=0.0002$, $M = 1$, $Q=0.7$), there are bound orbits, and within this range, the stable circular orbits exist, and the radii of the innermost and outermost stable circular orbit are $r=5.912\,654$ and $r=56.745\,933$, respectively. For null orbital motion, the orbital types have only unstable circular orbit which occur at $r=2.951\,072$ ($E^{2}=E_{2}^{2}=0.4$), absorb orbits and escape orbits, but no stable circular orbits, and bound orbits. |
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Keywords: | effective potential orbital stability orbital types |
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