论文标题
观察者的命运在循环运动中
The fate of observers in circular motion
论文作者
论文摘要
在牛顿物理学或一般相对论中,能量耗散会导致观察者沿着圆形轨道移动,使其慢慢向重力场的来源螺旋。我们表明,通过表现出巨大的测试粒子的能量与其轨道的稳定性之间的亲密关系,能量损失在任何重力理论中都具有相同的作用。最终,巨大的颗粒要么暴跌,要么被驱动到牛顿势的最小值,它们成为静态的。此外,我们构建了一个玩具指标,该指标显示一个无限的最内向的稳定圆形轨道,从而使到达该轨道的颗粒被驱逐出去。
In Newtonian physics or in general relativity, energy dissipation causes observers moving along circular orbits to slowly spiral towards the source of the gravitational field. We show that the loss of energy has the same effect in any theory of gravity respecting the weak equivalence principle, by exhibiting an intimate relation between the energy of a massive test particle and the stability of its orbit. Ultimately, massive particles either plunge, or are driven towards minima of the generalized Newtonian potential, where they become static. In addition, we construct a toy metric which displays an unbound innermost stable circular orbit, allowing particles that reach this orbit to be expelled away.