辐射带电粒子运动的渐近条件
Asymptotic conditions of motion for radiating charged particles
摘要：
本文在广义相对论的框架内，利用Einstein- Infeld-Hoffmann（EIH）曲面积分方法，导出了致密带电粒子运动的近似渐近条件。虽然表面上类似于亚伯拉罕-洛伦兹和洛伦兹-狄拉克（ALD）运动方程，但这些条件在几个基本方面与它们不同。它们不是通常意义上的运动方程，而是这些运动在初值曲面的渐近未来中必须遵守的一组条件。除了是渐近的，这些运动条件是近似的，并适用于原始EIH方程，只有缓慢移动的系统。而且，他们不承认这些其它方程的失控解.与最初的EIH工作一样，它们是从积分空空间（即，无源）爱因斯坦-麦克斯韦方程组的广义相对论在封闭的两个表面周围的来源的领域，由这些方程。不需要额外的特设假设，如力定律的形式或惯性反应项的引入，需要推导ALD方程。也不需要在推导其他方程时所需的任何无限质量重整化。
英文摘要：
Approximate asymptotic conditions on the motion of compact, electrically charged particles are derived within the framework of general relativity using the Einstein- Infeld-Hoffmann (EIH) surface integral method. While superficially similar to the Abraham-Lorentz and Lorentz-Dirac (ALD) equations of motion, these conditions differ from them in several fundamental ways. They are not equations of motion in the usual sense but rather a set of conditions which these motions must obey in the asymptotic future of an initial value surface. In addition to being asymptotic, these conditions of motion are approximate and apply, as do the original EIH equations, only to slowly moving systems. Also, they do not admit the run- away solutions of these other equations. As in the original EIH work, they are integrability conditions gotten from integrating the empty-space (i.e., source free) Einstein-Maxwell equations of general relativity over closed two-surfaces surrounding the sources of the fields governed by these equations. No additional ad hoc assumptions, such as the form of a force law or the introduction of inertial reaction terms, needed to derive the ALD equations are required for this purpose. Nor is there a need for any of the infinite mass renormalizations that are required in deriving these other equations.
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