Minimal length effects on motion of a particle in Rindler space

• 来源期刊: 中国物理C（英文版）
• 年，卷（期）: 2021,（2）
• 所属期刊栏目: PARTICLES AND FIELDS
• 页码范围: 270-281
• 页数: 12页
• 语种: 英文
• DOI: 10.1088/1674-1137/abcf20

摘要

Various quantum theories of gravity predict the existence of a minimal measurable length.In this paper,we study effects of the minimal length on the motion of a particle in the Rindler space under a harmonic potential.This toy model captures key features of particle dynamics near a black hole horizon and allows us to make three ob-servations.First,we find that chaotic behavior becomes stronger with increases in minimal length effects,leading predominantly to growth in the maximum Lyapunov characteristic exponents,while the KAM curves on Poincard surfaces of a section tend to disintegrate into chaotic layers.Second,in the presence of the minimal length effects,it can take a finite amount of Rindler time for a particle to cross the Rindler horizon,which implies a shorter scram-bling time of black holes.Finally,the model shows that some Lyapunov characteristic exponents can be greater than the surface gravity of the horizon,violating the recently conjectured universal upper bound.In short,our results re-veal that quantum gravity effects may make black holes prone to more chaos and faster scrambling.