标题： 能量的作用及广义相对论中引力波的新方法 显示英文标题

标题： The Role of Energy and a New Approach to Gravitational Waves in General Relativity

摘要： 作者的能量局域化假说认为能量局域于能量-动量张量非零的区域，这意味着真空中的引力波不携带能量。如果得到证实，这将对当前研究产生重大影响。通过重新审视爱丁顿关于旋转杆能量损失的经典计算，为该假说提供了支持。强调的是，爱丁顿并未监测整个托尔曼能量积分，而只是关注了能量的“动能”部分的变化。因此，“四极公式”被看作是测量动能变化的工具。当计算缺失应力-迹积分的导数时，发现它会抵消爱丁顿项，因此杆的能量是守恒的，这支持了局域化假说。讨论了初始状态和最终状态的问题。 显示英文摘要

摘要： The energy localization hypothesis of the author that energy is localized in non-vanishing regions of the energy-momentum tensor implies that gravitational waves do not carry energy in vacuum. If substantiated, this has significant implications for current research. Support for the hypothesis is provided by a re-examination of Eddington's classic calculation of energy loss by a spinning rod. It is emphasized that Eddington did not monitor the entire Tolman energy integral, concentrating solely upon the change of the 'kinetic' part of the energy . The 'quadrupole formula' is thus seen to measure the kinetic energy change. When the derivative of the missing stress-trace integral is computed, it is seen to cancel the Eddington term and hence the energy of the rod is conserved, in support of the localization hypothesis. The issue of initial and final states is addressed.