Acceleration Of Spinning Particles Near BTZ Black Holes

We study the acceleration property of spinning particles near a Ba?ados-Teitelboim-Zanelli(BTZ)black hole.Black-holes as particle accelerator is a possible explanation of ultra-high energy cosmic rays(UHECRs),and the three dimensional BTZ black-hole can be used as a more tractable accelerator of spinning particles.We first review some characteristic examples of black-holes introduced as accelerators of particles and compare BTZ black-hole with them.Then,the basic theory on motion of spinning particles in curved spacetime are introduced,including the well-known MPD equations and the derivation of conserved quantities of motion due to Killing vector fields in spacetime,which has been developed by Papapetrou et al.Applying the theory aforementioned,we turn to the corresponding research of our own case-the BTZ black-hole.Our results show that although the center-of-mass energy of two ingoing particles diverges if one of the particles possesses a critical angular momentum like many previous examples,however,particle with critical angular momentum can not exist outside of the horizon due to the violation of timelike constraint.Further detailed investigation indicates that only a particle with a subcritical angular momentum is allowed to exist near an extremal rotating BTZ black hole and the corresponding collision center-of-mass energy can be arbitrarily large in a critical angular momentum limit.