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 the 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 ℓ (a convenient encoding of the central energy density 3/8πℓ2). If ℓ = 1/3 and b < 3.453 21, the test particles moving toward the black hole will definitely plunge into the black hole. In addition, it is obtained that the innermost stable circular orbit happens at rmin = 5.930 55 for b = 3.453 21.