论文标题

基于真空力学理论的某些非惯性参考框架中广义爱因斯坦重力方程的推导

Derivation of generalized Einstein's equations of gravitation in some non-inertial reference frames based on the theory of vacuum mechanics

论文作者

Wang, Xiao-Song

论文摘要

在为孤立的质量系统求解爱因斯坦的方程时,V。Fock引入了谐波参考框架并获得了明确的解决方案。此外,他得出的结论是,存在一个谐波参考框架,如果施加合适的补充条件,该谐波参考框架与Lorentz的转化唯一确定。众所周知,波动方程在洛伦兹转换下保持相同的形式。因此,我们推测Fock的特殊谐波参考帧可能为我们提供了一个线索,可以在某些特殊类别的非惯性参考框架中得出爱因斯坦方程。遵循这一线索,基于真空力学理论得出了一些特殊非惯性参考框架中的广义爱因斯坦方程。如果该场很弱并且参考框架是准惯性的,则这些广义的爱因斯坦方程将减少到爱因斯坦的方程式。因此,该理论也可以解释所有支持一般相对论理论的实验。这种理论与广义相对论之间存在一些差异。

When solving the Einstein's equations for an isolated system of masses, V. Fock introduces harmonic reference frame and obtains an unambiguous solution. Further, he concludes that there exists a harmonic reference frame which is determined uniquely apart from a Lorentz transformation if suitable supplementary conditions are imposed. It is known that wave equations keep the same form under Lorentz transformations. Thus, we speculate that Fock's special harmonic reference frames may have provided us a clue to derive the Einstein's equations in some special class of non-inertial reference frames. Following this clue, generalized Einstein's equations in some special non-inertial reference frames are derived based on the theory of vacuum mechanics. If the field is weak and the reference frame is quasi-inertial, these generalized Einstein's equations reduce to Einstein's equations. Thus, this theory may also explain all the experiments which support the theory of general relativity. There exist some differences between this theory and the theory of general relativity.

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