AI 中文总结
研究高斯-博内特反德西特时空中旋转粒子对混沌边界的违反，发现五维时李雅普诺夫指数随自旋单调增长，八、九维时非单调，高斯-博内特参数和时空维度显著影响混沌，明确它们是控制修正引力理论中混沌边界有效性的重要因素。
AI 中文摘要
在这项工作中，我们研究了高斯-博内特反德西特时空中旋转测试粒子对混沌边界的违反情况，重点关注高斯-博内特参数和时空维度的调节作用。在五维时空中，李雅普诺夫指数随粒子自旋单调增长。相比之下，在八维和九维时空中，它呈现非单调行为——先减小后增大——反映了高维张量耦合的非线性性质。高斯-博内特参数通过重塑近视界几何结构显著调节这种违反情况。增加粒子的总角动量也会增强混沌；然而，当高斯-博内特参数和黑洞电荷较小时，时空维度而非角动量起主导作用。这些结果表明时空维度和高斯-博内特参数是控制修正引力理论中混沌边界有效性的重要因素。
英文摘要
In this work, we investigate the violation of the chaos bound for spinning test particles in Gauss-Bonnet anti-de Sitter spacetime, focusing on the regulatory roles of the Gauss-Bonnet parameter and spacetime dimensionality. In five-dimensional space time, the Lyapunov exponent grows monotonically with particle spin. In contrast, in eight- and nine-dimensional spacetimes, it exhibits non-monotonic behavior-first decreasing and then increasing-reflecting the nonlinear nature of higher-dimensional tensor couplings. The Gauss-Bonnet parameter significantly modulates the violation by reshaping the near-horizon geometry: in five dimensions, the deviation of the Lyapunov exponent from the surface gravity first increases and then decreases with the Gauss-Bonnet parameter, whereas in the higher dimensions the bound is more easily violated. Increasing the total angular momentum of the particle also enhances chaos; however, when the Gauss-Bonnet parameter and black hole charge are small, the spacetime dimensionality, rather than the angular momentum, dominates. These results establish the spacetime dimensionality and the Gauss-Bonnet parameter as important factors governing the validity of the chaos bound in modified gravity theories.
Comments18 pages, 13 figures
