标题： 潮汐力在Majumdar-Papapetrou时空中的表现 显示英文标题

标题： Tidal Forces in Majumdar-Papapetrou Spacetimes

摘要： 潮汐撕裂事件发生在天体物理物体由于强烈的潮汐力效应被黑洞摧毁时。 潮汐力已经在多种黑洞时空背景下进行了研究，包括Reissner-Nordström和Kerr时空。 尽管已有大量相关文献，但此前从未研究过处于静态平衡中的黑洞周围的潮汐力。 本工作的目的是填补这一空白，并探索描述两个处于平衡状态的极端带电双黑洞的Majumdar-Papapetrou时空中的潮汐力。 我们关注的是沿距离两个黑洞等距平面运动的静质量中性粒子的径向和圆轨道上的潮汐力。 特别是，我们研究了潮汐力随距离黑洞的距离以及随轨道能量的变化情况。 我们还研究了不同初始条件下的测地线偏离方程的数值解。 显示英文摘要

摘要： Tidal disruption events occur when astrophysical objects are destroyed by black holes due to strong tidal force effects. Tidal forces have been studied in a variety of black hole spacetimes, including Reissner-Nordstr\"om and Kerr spacetimes. Despite the vast literature on the subject, tidal forces around black holes in static equilibrium have never been investigated before. The aim of this work is to fill in this gap and explore tidal forces in the Majumdar-Papapetrou spacetime describing two extremely charged binary black holes in equilibrium. We focus on tidal forces associated with radial and circular geodesics of massive neutral particles moving on the plane equidistant to the black holes. In particular, we study the behavior of the tidal forces as a function of the distance from the black holes and as a function of the energy of the geodesics. We also investigate the numerical solutions of the geodesic deviation equation for different initial conditions.