标题： 静止电荷在施瓦茨希尔德星附近的自力 显示英文标题

标题： Self force of a static electric charge near a Schwarzschild Star

摘要： 当一个电荷静止地靠近一个密度恒定的球形恒星时，它会受到一种自力，这种自力与它靠近相同质量的黑洞时所受的力显著不同。 在本文中，给出了自力的表达式（由局部惯性观察者测量），并明确计算了绝缘施瓦茨希尔德恒星的情况，结果明确计算了极端密度情况，该情况在其中心有奇点。 发现这种力是排斥的。 还对导电恒星进行了类似的自力计算。 该计算适用于任何静态、球对称的导电恒星，因为结果与内部度规无关。 当电荷非常靠近导电恒星时，发现力是吸引的，但当电荷放置在一定距离之外（对于半径为2.25M的导电恒星，该距离为2.95M）时，发现力是排斥的。 当电荷远离恒星（无论是导电还是绝缘的）时，电荷所受的排斥力与它放置在质量与恒星相同的黑洞的时空中的排斥力相同。 显示英文摘要

摘要： When a charge is held static near a constant density spherical star, it experiences a self-force which is significantly different from the force it would experience when placed near a black hole of the same mass. In this paper, an expression for the self-force (as measured by a locally inertial observer) is given %explicitly calculated for an insulating Schwarzschild star, and the result is explicitly computed for the extreme density case, which has a singularity at its center. The force is found to be repulsive. A similar calculation of the self-force is also performed for a conducting star. This calculation is valid for any static, spherically conducting star, since the result is independent of the interior metric. When the charge is placed very close to the conducting star, the force is found to be attractive but when the charge is placed beyond a certain distance (2.95M for a conducting star of radius 2.25M), the force is found to be repulsive. When the charge is placed very far from the star (be it conducting or insulating), the charge experiences the same repulsive force it would experience when placed in the spacetime of a black hole with the same mass as the star.