五维黑洞俘获截面
Five-Dimensional Black Hole Capture Cross-Sections
摘要：
我们研究了在Myers-Perry度规描述的五维时空中旋转黑洞对粒子的散射和俘获。测地线运动方程是可积的，并允许我们计算捕获条件的自由粒子发送到一个黑洞从无限远。我们引入了一个三维的碰撞参量描述的渐近初始条件的散射问题，对于一个给定的初始速度。在碰撞参量空间中，非旋转黑洞的俘获面为球面，旋转黑洞的俘获面发生形变。我们获得的渐近表达式，描述这样的变形为小的旋转参数，并使用数值计算来调查的任意旋转的情况下，这使我们能够可视化的捕获表面的极值旋转接近。
英文摘要：
We study scattering and capture of particles by a rotating black hole in the five-dimensional spacetime described by the Myers-Perry metric. The equations of geodesic motion are integrable, and allow us to calculate capture conditions for a free particle sent towards a black hole from infinity. We introduce a three-dimensional impact parameter describing asymptotic initial conditions in the scattering problem for a given initial velocity. The capture surface in impact parameter space is a sphere for a non-rotating black hole, and is deformed for a rotating black hole. We obtain asymptotic expressions that describe such deformations for small rotational parameters, and use numerical calculations to investigate the arbitrary rotation case, which allows us to visualize the capture surface as extremal rotation is approached.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
