Precessing and periodic orbits around Lee-Wick black holes

We investigate neutral massive particles' precessing and periodic motions around Lee-Wick black holes. By deriving the secular periastron precession for the massive particles orbiting around Lee-Wick black holes, we obtain a preliminary bound on the UV scale of the spacetime in view of the orbit of the S2 star around Sgr A*. It shows that the precessing in the weak gravitational field is very similar to Schwarzschild ones. After that, in the strong gravitational field, periodic motions for the particles are studied by taking a taxonomy into account. And it suggests that the variation of the UV scale can change the taxonomy for the quasi-periodic and periodic motions. It also leads to a transition from a quasi-periodic motion to periodic motion, and vice versa. These maybe provide us a chance to identify some information of Lee-Wick black holes by using the orbital dynamics of the massive particles nearby the strong gravitational field.

Automated summary

This study investigates the precessing and periodic motions of neutral massive particles around Lee-Wick black holes. It derives the secular periastron precession and obtains a preliminary bound on the UV scale of the spacetime using the orbit of S2 star around Sgr A* as a reference. The results show that precessing in the weak gravitational field is similar to Schwarzschild black holes and that the variation of the UV scale can change the taxonomy for the particles' quasi-periodic and periodic motions, allowing for a transition between the two.