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GEODESIC STRUCTURE OF TEST PARTICLE IN BARDEEN SPACETIME

Sheng ZhouCollege of Physics and Information Science, Hunan Normal University, Changsha, Hunan 410081, P. R. ChinaJuhua ChenCollege of Physics and Information Science, Hunan Normal University, Changsha, Hunan 410081, P. R. ChinaYongjiu WangCollege of Physics and Information Science, Hunan Normal University, Changsha, Hunan 410081, P. R. China
2012en
ABI

Abstract

The Bardeen model describes a regular spacetime, i.e. a singularity-free black hole spacetime. In this paper, by analyzing the behavior of the effective potential for the particles and photons, we investigate the timelike and null geodesic structures in the Bardeen spacetime. At the same time, all kinds of orbits, which are allowed according to the energy level corresponding to the effective potentials, are numerically simulated in detail. We find many-world bound orbits, two-world escape orbits and escape orbits in this spacetime. We also find that bound orbits precession directions are opposite and their precession velocities are different, the inner bound orbits shift along counter-clockwise with high velocity while the exterior bound orbits shift along clockwise with low velocity.

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