论文标题
通过振荡球形对称的暗物质配置通过测试颗粒的通过
Passage of test particles through oscillating spherically-symmetric dark matter configurations
论文作者
论文摘要
将扰动方法应用于测量方程，我们研究了通过振荡暗物质产生的时间依赖性球形对称空间的测试粒子运动。假设引力场的弱点，我们得出了描述测试颗粒的无限轨迹并确定领先顺序近似中的总挠度角的一般公式。获得的公式对于时间依赖性和静态物质配置都是有效的。使用这些结果，我们计算通过具有对数电势的自我散发标量场的球形对称振荡分布的测试粒子的挠度角。事实证明，在各种幅度中，偏转角的振荡是正弦的，对于超层压颗粒而变小。
Applying the perturbative approach to geodesic equations, we study motion of the test particles in time-dependent spherically symmetric spacetimes created by oscillating dark matter. Assuming the weakness of the gravitational field, we derive general formulas that describe infinite trajectories of the test particles and determine the total deflection angle in the leading order approximation. The obtained formulas are valid for both time-dependent and static matter configurations. Using these results, we calculate the deflection angle of a test particle passing through a spherically symmetric oscillating distribution of a self-gravitating scalar field with a logarithmic potential. It turned out that, in a wide range of amplitudes, oscillations in the deflection angle are sinusoidal and become small for ultrarelativistic particles.
