论文标题
克尔的绝热理论
Adiabatic theory in Kerr spacetimes
论文作者
论文摘要
我们介绍了绝热理论的主要方面，并表明它可用于研究一般相对性的测试颗粒的运动。该理论基于轨道和绝热不变剂的矢量元素的使用。为了证明绝热理论在爱因斯坦的重力中的适用性，我们得出了谐波坐标中KERR指标的特定表示，这使我们能够获得一个通用公式，用于旋转的旋转中心物体非处方平面上的测试粒子的近调偏移。我们表明，叠加原理是针对引力源质量和角动量的个体影响到二阶的。我们证明，绝热理论及其简单性导致了正确的结果，在限制案例中，这与文献中报道的情况相对应。
We present the main aspects of the adiabatic theory and show that it can be used to study the motion of test particles in general relativity. The theory is based upon the use of vector elements of the orbits and adiabatic invariants. To prove the applicability of the adiabatic theory in Einstein's gravity, we derive a particular representation of the Kerr metric in harmonic coordinates, which allows us to obtain a general formula for the perihelion shift of test particles orbiting on the non-equatorial plane of a rotating central object. We show that the principle of superposition is fulfilled for the individual effects of the gravitational source mass and angular momentum up to the second order. We demonstrate that the adiabatic theory, along with its simplicity, leads to correct results, which in the limiting cases correspond to the ones reported in the literature.
