A “Asymptotic Freedom” Phenomenon Emerges in Schwarzschild Spacetime Based on a Special Lorentz Violation Model

In our previous work (i.e., Ref. [14]), we proposed a special Lorentz violation model, which is characterized by that the maximum energy of a particle with mass is finite and proportional to its rest mass rather than infinite predicted by the Lorentz model. In this paper, we continue to investigate the impact of the Lorentz violation model on the curved spacetime. Firstly, we proposed a method for obtaining the spacetime metric without external fields corresponding to this Lorentz violation model. Then, we used this new metric to analyze the proper acceleration of a particle fixed in the Schwarzschild spacetime. To our surprise, we found that when the particle is less than a certain distance from the event horizon of the Schwarzschild black hole, the closer it is to the event horizon, the smaller its proper acceleration becomes, and the proper acceleration drops to 0 when reaching the event horizon. By analogy with the quark model in particle physics, we can also call this phenomenon the ''asymptotic freedom'' in Schwarzschild spacetime, which shows us a different black hole.