标题： 合并过程中的视界变形 显示英文标题

标题： Deformation of horizons during a merger

摘要： 我们将极端质量比合并（EMR）建模为一个点粒子径直落入一个大施瓦茨希尔德黑洞。 我们假设点粒子的质量$\mu$远小于黑洞质量 M。在这一假设下，我们可以采用包含来自小物体能量动量张量的源项的修正的泽里利形式。 我们通过数值演化初始数据来求解泽里利方程。 然后，我们沿时间反向追踪事件视界的零测地线，以提取扰动事件视界的几何结构。 此外，我们利用设置的轴对称性来定位瞬时视界并研究其几何结构。 显示英文摘要

摘要： We model an extreme mass ratio merger (EMR) as a point particle radially plunging into a large Schwarzschild black hole. We assume that the mass of the point particle, $\mu$, is much smaller than the black hole mass M. Under this assumption we can employ the Zerilli formalism modified to include a source term which arises from the energy-momentum tensor of the small object. We solve the Zerilli equation by numerically evolving initial data. Then, we ray trace the null geodesics of the event horizon from after the merger backward in time to extract the geometry of the perturbed event horizon. Further, we take advantage of the axisymmetry of the setup to locate the apparent horizon and study its geometry.