This paper studies the Rindler trajectories in the Cloud of strings in 3rd-order Lovelock gravity. According to the generalization of the Letaw–Frenet equations for curved spacetime (ST), the trajectory will continue to accelerate linearly and uniformly throughout its motion. The ST of the Cloud of strings in 3rd-order Lovelock gravity, a boundary is established on the bound of the accelerated magnitude |a| for radially inward traveling trajectories in the expression of the BH mass m which is represented by \(|a|\le {\frac{ \left( b+1 \right) ^{3/2}}{3 \sqrt{3} m}}\). For a certain selection of asymptotic initial data h, the linearly uniformly accelerated trajectory always enters the BH for acceleration |a| greater than the bound value. To study the bound value by |a|, the radial linearly uniformly accelerated trajectory can only travel to infinity within a small radius or the distance of the closest approach. However, it is observed that when the bound \(|a| = {\frac{ \left( b+1 \right) ^{3/2}}{3 \sqrt{3} m}}\) is saturated, and this distance approaches its lowest value of \(r_b = {\frac{3m}{b+1}}\). We also demonstrate that the value of the acceleration has a limited constraint, there is always an extension of the closest approach \(r_b > {\frac{2m}{b+1}}\) for \(|a|\le B(m, h)\), for each set of finite asymptotic initial data h.

本文研究了三阶洛夫洛克引力中弦云中的林德勒轨迹。根据弯曲时空 (ST) 的 Letaw-Frenet 方程的推广，轨迹将在整个运动过程中继续线性且均匀地加速。三阶洛夫洛克引力中弦云的ST，在加速幅度的界限上建立边界 |一个|对于 BH 质量m的表达式中的径向向内行进轨迹，其表示为\(|a|\le {\frac{ \left( b+1 \right) ^{3/2}}{3 \sqrt{3 }米}}\)。对于一定的渐近初始数据h的选择，线性匀加速轨迹总是进入BH进行加速|一个|大于界限值。通过 | 研究边界值a |，径向线性匀加速轨迹只能在很小的半径或最近距离内行驶到无穷远。然而，观察到当边界\(|a| = {\frac{ \left( b+1 \right) ^{3/2}}{3 \sqrt{3} m}}\)饱和时，这个距离接近其最小值\(r_b = {\frac{3m}{b+1}}\)。我们还证明了加速度的值具有有限的约束，对于\(|a|\le B ) 总是存在最接近的方法\(r_b > {\frac{2m}{b+1}}\) (m, h)\)，对于每组有限渐近初始数据h。