论文标题
广义的Ellis-Bronnikov的大地测量时期嵌入了5D背景中
Geodesics in Generalised Ellis-Bronnikov Spacetime Embedded in Warped 5D Background
论文作者
论文摘要
我们研究了最近提出的五个维度翘曲（广义）Ellis-Bronnikov SpaceTime（5d-wgeb）（不需要异国情调的物质）中的粒子轨迹，以及这是四个维度对应物（4D-GEB）（4D-GEB），并进行了比较研究。分析方法提供了确定4D和5D空间的三种类型的轨迹（被困，返回和越过）的条件。值得注意的是，在5D几何形状中存在被困轨迹对初始条件高度敏感。我们已经通过数值求解了定时的测量方程，并以图形方式列出了轨迹以及相应的地理电位。因此，我们区分了所谓的虫洞参数的作用以及它们对轨迹和嵌入的影响的扭曲因素。有趣的是，5D-WGEB模型显示了围绕勃雷的位置的大规模颗粒定位，用于增长的扭曲因子和失控的轨迹，以造成衰减的扭曲因子。
We study the particle trajectories in the recently proposed five dimensional warped (generalized) Ellis-Bronnikov spacetime (5D-WGEB) (which does not require exotic matter) as well as it's four dimensional counterpart (4D-GEB) in detail and conduct a comparative study. Analytical approach provides conditions which determines three types of trajectories (trapped, returning and crossing) for both 4D and 5D spacetimes. Notably in 5D geometry existence of trapped trajectories become highly sensitive to the initial conditions. We have solved the timelike geodesic equations numerically and presented the trajectories graphically along with corresponding geodesic potentials. We thus distinguished the roles of the so-called wormhole parameter and the warping factor regarding their effects on the trajectories and embedding as such. Interestingly, the 5D-WGEB model shows the localization of massive particles around the location of the brane for growing warp factor and runaway trajectories for decaying warp factor.
