Probing a self-complete and Generalized-Uncertainty-Principle black hole with precessing and periodic motion

We investigate the precessing and periodic orbits of timelike particles around a self-complete and Generalized-Uncertainty-Principle (GUP) black hole. After its marginally bound orbit and innermost stable circular orbit are found, we obtain the allowable conditions for the bound orbits. The relativistic periastron advance is worked out, and thereby the minimal resolution length of the GUP is estimated based on the precessing orbit of the S2 star around the Galactic Center. For the periodic motion, we find that when the minimal length approaches its critical value, it would be extremely sensitive for the periodic orbits to disturbance due to any variation of the minimal length so that they would easily become unbound.

Automated summary

This paper investigates the precessing and periodic orbits of timelike particles around a self-complete and Generalized-Uncertainty-Principle (GUP) black hole, and obtains the allowable conditions for the bound orbits. Furthermore, based on the precessing orbit of the S2 star around the Galactic Center, the minimal resolution length of the GUP is estimated.