Analytical time-like geodesics in modified Hayward black hole space-time

作者：Hu, Jian-Ping; Shi, Li-Li; Zhang, Yu^*; Duan, Peng-Fei

来源：Astrophysics and Space Science, 2018, 363(10): 199.

DOI：10.1007/s10509-018-3423-x

• Time-like geodesics
• Modified Hayward black hole
• Precession direction
• Effective potential
• Innermost circular orbit

The properties of modified Hayward black hole space-time can be investigated through analyzing the particle geodesics. By means of a detailed analysis of the corresponding effective potentials for a massive particle, we find all possible orbits which are allowed by the energy levels. The trajectories of orbits are plotted by solving the equation of orbital motion numerically. We conclude that whether there is an escape orbit is associated with b (angular momentum). The properties of orbital motion are related to b, alpha (alpha is associated with the time delay) and beta (beta is related to 1-loop quantum corrections). There are no escape orbits when b < 4.016M, alpha = 0.50 and beta = 1.00. For fixed alpha = 0.50 and beta = 1.00, if b < 3.493M, there only exist unstable orbits. Comparing with the regular Hayward black hole, we go for a reasonable speculation by mean of the existing calculating results that the introduction of the modified term makes the radius of the innermost circular orbit (ISCO) and the corresponding angular momentum larger.

• 出版日期2018-10
• 单位昆明理工大学