论文标题
时间传输功能在固定时空中没有增强的项 - 应用于孤立的轴对称旋转体
Time transfer functions without enhanced terms in stationary spacetime -- Application to an isolated, axisymmetric spinning body
论文作者
论文摘要
我们开发了一种新的扰动方法，用于确定静止时空中的时间传输类别的类别，当时其度量是对背景度量的较小变形，以封闭形式知道时间传输函数。扰动项表示为沿着背景度量的无效大地路径的线积分。与到目前为止提出的其他过程发生的情况不同，以这种方式获得的时间传输功能完全没有无限的术语，并且不会在光线旅行时间中产生任何增强功能。当背景度量是线性化的schwarzschild样公制时，我们的程序被证明非常有效。它应用于隔离的身体，缓慢旋转对称轴，导致积分可以通过任何符号计算机程序来计算。对于质量偶极子和四极矩的明确表达，以及由人体自旋引起的领先的引力术语。对2002 Cassini实验进行了简短的数值讨论。
We develop a new perturbation method for determining a class of time transfer functions in a stationary spacetime when its metric is a small deformation of a background metric for which the time transfer functions are known in a closed form. The perturbation terms are expressed as line integrals along the null geodesic paths of the background metric. Unlike what happens with the other procedures proposed until now, the time transfer functions obtained in this way are completely free of unbounded terms and do not generate any enhancement in the light travel time. Our procedure proves to be very efficient when the background metric is a linearized Schwarzschild-like metric. Its application to an isolated body slowly rotating about an axis of symmetry leads to integrals which can be calculated with any symbolic computer program. Explicit expressions are obtained for the mass dipole and quadrupole moments and for the leading gravitomagnetic term induced by the spin of the body. A brief numerical discussion is given for the 2002 Cassini experiment.
