Structure of geodesics in the regular Hayward black hole space-time

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 $3/8\pi {\ell }^2$, 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).

19 pages,16 figures

References in corpus (12)

• Quantum Gravity at a Lifshitz Point
• Relativistic images of Schwarzschild black hole lensing
• Are eikonal quasinormal modes linked to the unstable circular null geodesics?
• Geodesic equation in Schwarzschild--(anti-)de Sitter space--times: Analytical solutions and applications
• Equatorial circular orbits in the Kerr-de Sitter spacetimes
• Geodesic Study of Regular Hayward Black Hole
• Angular momentum conservation for dynamical black holes
• Collision of two general particles around a rotating regular Hayward's black holes
• Spherically symmetric solutions and gravitational collapse in brane-worlds
• Studying null and time-like geodesics in the classroom
• Geodesic structure of five-dimensional non-asymptotically flat 2-branes
• Thermodynamic Geodesics of a Reissner Nordström Black Hole

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