论文标题
一般相对论的摆：等级与测量运动
A General Relativistic Pendulum: Isochronous vs. Geodesic Motion
论文作者
论文摘要
一般相对性（GR）被证明是与摆的等距有关的完整理论。这可以确保可以用理论本身中的机械时钟来测量时间作为原则。简单摆的正确和坐标的振荡频率是根据3个坐标参数的函数计算的：支点与重力源的距离，其长度和Schwarzschild radius。新颖的GR效应出现在施瓦茨柴尔德坐标中，作为牛顿引力中缺失的振荡频率的差异，零和其他不稳定性。适当和坐标频率的异常发生在极端条件下：支点或摆质量或两者都留在事件范围内。
General Relativity (GR) is shown to be a complete theory with respect to the isochrony of the pendulum. This guarantees that time can be measured with a mechanical clock within the theory itself as a matter of principle. The proper and coordinate oscillation frequencies of a simple pendulum are computed as a function of 3 coordinate parameters: the distance of the fulcrum to the gravity source, its length and the Schwarzschild radius. Novel GR effects appear in the Schwarzschild coordinates as divergences, zeroes and other instabilities of the oscillation frequencies that are absent in Newtonian gravity. The anomalies in the proper and coordinate frequencies occur under extreme conditions: either the fulcrum or the pendulum mass or both remain inside the Event Horizon.
