Orbital motion of test particles in regular Hayward black hole space-time

Abstract

In this paper, all possible orbits of test particles are investigated by using phase plane method in regular Hayward black hole space-time. Our results show that the time-like orbits are divided into four types: unstable circular orbits, separates stable orbits, stable hyperbolic orbits and elliptical orbits in regular Hayward black hole space-time. We find that the orbital properties vary with the change of $\ell$ (a convenient encoding of the central energy density $3/8\pi {\ell }^2$). If $\ell =\frac{1}{3}$ and $b<3.45321$, the test particles which moving toward the black hole will definitely be plunging into the black hole. In addition, it is obtained that the innermost stable circular orbit happens at $r_{min}$ = 5.93055 for $b$ = 3.45321.

9 pages, 5 figures

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