We investigate particle motion in the vicinity of a $4D$ Einstein–Gauss–Bonnet (EGB) black hole immersed in external asymptotically uniform magnetic field. It is well known that magnetic fields can strongly affect charged particle motion in the black hole vicinity due to the Lorenz force. We find that the presence of the Gauss–Bonnet (GB) coupling gives rise to a similar effect, reducing the radius of the innermost stable circular orbit (ISCO) with respect to the purely relativistic Schwarzschild black hole. Further, we consider particle collisions in the black hole vicinity to determine the center of mass energy and show that this energy increases with respect to the Schwarzschild case due to the effect of the GB term. Finally, we consider epicyclic motion and its frequencies and resonance as a mean to test the predictions of the model against astrophysical observations. In particular we test which values of the parameters of the theory best fit the 3:2 resonance of high-frequency quasi-periodic oscillations in three low-mass X-ray binaries.

我们研究一个粒子附近的粒子运动 $4d$爱因斯坦-高斯-引擎盖（EGB）黑洞沉浸在外部渐近均匀磁场中。众所周知，由于洛伦兹力，磁场会强烈影响黑洞附近带电粒子的运动。我们发现，高斯-邦尼特（GB）耦合的存在也产生了类似的效果，相对于纯粹相对论的Schwarzschild黑洞，减小了最内层稳定圆形轨道（ISCO）的半径。此外，我们考虑了黑洞附近的粒子碰撞以确定质量能中心，并表明由于GB项的影响，该能量相对于Schwarzschild情形有所增加。最后，我们考虑周转运动及其频率和共振，以此作为对天体物理观测结果测试模型预测的一种手段。