论文标题
略微变形的裸奇异点的重力场
Gravitational field of slightly deformed naked singularities
论文作者
论文摘要
我们得出了爱因斯坦方程的特定近似解，描述了质量分布的重力场，该质量分布略微偏离球形对称性。偏差是通过四极参数来描述的，该参数是导致曲率奇异性出现的，而曲率奇异性的出现，而曲率奇异性不受地平线的覆盖。我们研究了这种裸奇异性的重力场中测试颗粒的运动，并表明四极参数会影响Schwarzschild轨迹的性质。通过研究径向测量学，我们发现不存在排斥重力的影响。我们将此结果解释为表明排斥性重力是非线性效应。
We derive a particular approximate solution of Einstein equations, describing the gravitational field of a mass distribution that slightly deviates from spherical symmetry. The deviation is described by means of a quadrupole parameter that is responsible for the appearance of a curvature singularity, which is not covered by a horizon. We investigate the motion of test particles in the gravitational field of this naked singularity and show that the quadrupole parameter affects the properties of Schwarzschild trajectories. By investigating radial geodesics, we find that no effects of repulsive gravity are present. We interpreted this result as indicating that repulsive gravity is non-linear effect.
