Structure of geodesics in the regular Hayward black hole space-time |
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Authors: | Jian-Ping Hu Yu Zhang Li-Li Shi Peng-Fei Duan |
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Affiliation: | 1.Faculty of Science,Kunming University of Science and Technology,Kunming,People’s Republic of China;2.Geological Resources and Geological Engineering Postdoctoral Programme,Kunming University of Science and Technology,Kunming,People’s Republic of China;3.City College,Kunming University of Science and Technology,Kunming,People’s Republic of China |
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Abstract: | The regular Hayward model describes a non-singular black hole space-time. By analyzing the behaviors of effective potential and solving the equation of orbital motion, we investigate the time-like and null geodesics in the regular Hayward black hole space-time. Through detailed analyses of corresponding effective potentials for massive particles and photons, all possible orbits are numerically simulated. The results show that there may exist four orbital types in the time-like geodesics structure: planetary orbits, circular orbits, escape orbits and absorbing orbits. In addition, when (ell ), a convenient encoding of the central energy density (3/8pi ell ^{2}), is 0.6M, and b is 3.9512M as a specific value of angular momentum, escape orbits exist only under (b>3.9512M). The precession direction is also associated with values of b. With (b=3.70M) the bound orbits shift clockwise but counter-clockwise with (b=5.00M) in the regular Hayward black hole space-time. We also find that the structure of null geodesics is simpler than that of time-like geodesics. There only exist three kinds of orbits (unstable circle orbits, escape orbits and absorbing orbits). |
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