轴平稳渐近平坦时空中ZAMOs的惯性标架拖曳和相对转动
Inertial Frame Dragging and Relative Rotation of ZAMOs in Axistationary Asymptotically Flat Spacetimes
摘要：
在轴定态渐近平坦时空中，零角动量观测者（ZAMOs）定义了一个局部非旋转的绝对标准，这可以通过这些观测者不存在任何Sagnac效应来验证。然而，我们认为，在全球范围内，唯一有物理意义的概念是相对旋转。这个论点是通过解决爱因斯坦方程的近似薄壳模型，我们保持一个自由度放松自然假设的消失旋转在渐近无穷大的分析开始。解表明爱因斯坦方程只决定了ZAMOs旋转速率的差异，从而建立了全局相对旋转的概念。在全球范围内的相对旋转的解释是固有的联系到自由之间的转换坐标系旋转相对于彼此，这意味着一个任意ZAMO位于任何半径可以声称是一个谁是非旋转的全球范围内，一个渐近洛伦兹框架的概念，相对于它可以测量绝对旋转是没有任何意义的。在克尔时空的旋转概念，然后简要讨论了这种解释的背景下。
英文摘要：
In axistationary asymptotically flat spacetimes zero angular momentum observers (ZAMOs) define an absolute standard of non--rotation locally, as can be verified by the absence of any Sagnac effect for these observers. Nevertheless, we argue that on a global scale the only physically meaningful concept is that of relative rotation. The argument is substantiated by solving Einstein's equations for an approximate thin shell model where we keep a degree of freedom by relaxing the natural assumption of vanishing rotation at asymptotic infinity at the outset of the analysis. The solution reveals that Einstein's equations only determine differences in the rotation rate of ZAMOs, thereby establishing the concept of relative rotation globally. The interpretation of rotation as relative in a global context is inherently linked to the freedom to transform between coordinate systems rotating relative to each other, implying that an arbitrary ZAMO located at any radius may claim to be the one who is non--rotating on a global scale and that the notion of an asymptotic Lorentz frame relative to which one may measure absolute rotation is devoid of any meaning. The concept of rotation in Kerr spacetime is then briefly discussed in the context of this interpretation.
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