论文标题
Brane-World空间中无效测量学的动态分析
Dynamical analysis of null geodesics in brane-world spacetimes
论文作者
论文摘要
在这项工作中，我们对Casadio，Fabbri和Mazzacurati（CFM）提出的空位进行了广泛的动态分析，该分析在Randall-Sundrum Brane中对黑洞和虫洞进行了建模。 Lyapunov和Jacobi标准评估了大地测量稳定性，并具有一致的结果。在感兴趣的几何形状中发现了可半固定的光子球。还研究了与动态系统相关的分叉，表征了退化的Bogdanov-Takens分叉。我们的结果表明，在这些背景下，CFM空间的几何特征与无效的大地测量动力学之间的几何特性之间的深厚连接。
In this work, we present an extensive dynamical analysis of the null geodesics in the spacetimes proposed by Casadio, Fabbri, and Mazzacurati (CFM), which model black holes and wormholes in a Randall-Sundrum brane. Geodesic stability is evaluated by Lyapunov and Jacobi criteria, with coinciding results. Semistable photon spheres are found in the geometries of interest. Bifurcations associated with the dynamical system are also investigated, characterizing a degenerated Bogdanov-Takens bifurcation. Our results suggest deep connections between the geometric characteristics of the CFM spacetimes and the dynamics of null geodesics in these backgrounds.
