论文标题
引力波记忆效应的简单分析示例
A simple analytic example of the gravitational wave memory effect
论文作者
论文摘要
我们报告了在精确平面波段中重力波记忆效应的分析示例。选择了一个方脉冲轮廓，该轮廓会产生夹在两个平坦的Minkowski空间之间的弯曲波区域。在Brinkmann坐标系中工作，我们正好在所有三个区域中求解了地质方程。解决了与脉冲边界上解决方案的连续性和不同性有关的问题。测量分离的演变揭示了取决于初始值和脉冲宽度的幅度，并具有定量估计的位移和速度记忆效应。然后详细检查由颗粒环上的脉冲引起的变形。在两种情况下都发现了苛性碱的形成，即一对大地测量学的分离演变和粒子环的形状变形 - 这是该时空中先前在地球上的一致作品一致的特征。总而言之，我们的分析提供了涉及封闭形式精确表达式的记忆效应的有用说明。
We report an analytical example of the gravitational wave memory effect in exact plane wave spacetimes. A square pulse profile is chosen which gives rise to a curved wave region sandwiched between two flat Minkowski spacetimes. Working in the Brinkmann coordinate system, we solve the geodesic equations exactly in all three regions. Issues related to the continuity and differentiability of the solutions at the boundaries of the pulse are addressed. The evolution of the geodesic separation reveals displacement and velocity memory effects with quantitative estimates depending on initial values and the amplitude, width of the pulse. The deformation caused by the pulse on a ring of particles is then examined in detail. Formation of caustics is found in both scenarios i.e. evolution of separation for a pair of geodesics and shape deformation of a ring of particles -- a feature consistent with previous work on geodesic congruences in this spacetime. In summary, our analysis provides a useful illustration of memory effects involving closed-form exact expressions.
