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Derivation of generalized einstein's equations of gravitation in some noninertial reference frames based on the theory of vacuum mechanics
Reports on Mathematical Physics ( IF 1.0 ) Pub Date : 2021-05-13 , DOI: 10.1016/s0034-4877(21)00025-2
Xiao-Song Wang

When solving Einstein's equations for an isolated system of masses, V. Fock introduced a harmonic reference frame and obtained an unambiguous solution. Further, he concluded that there existed a harmonic reference frame which was determined uniquely apart from a Lorentz transformation if suitable supplementary conditions were 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 provide us with a clue to derive Einstein's equations in some special class of noninertial reference frames. Following this idea, generalized Einstein's equations in some special noninertial 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.



中文翻译:

基于真空力学理论在某些非惯性参考系中广义爱因斯坦引力方程的推导

在为一个孤立的质量系统求解爱因斯坦方程时,V。Fock引入了一个谐波参考系并获得了明确的解决方案。此外,他得出的结论是,存在一个谐波参考系,该参考系除如果施加了适当的补充条件,则进行洛伦兹变换。众所周知,在洛伦兹变换下,波动方程保持相同的形式。因此,我们推测Fock的特殊谐波参考系可能为我们提供一些线索,可以推导某些特殊类别的非惯性参考系中的爱因斯坦方程。遵循这一思想,在某些特殊的非惯性参考系中,基于真空力学理论推导了广义爱因斯坦方程。如果场弱且参考系是准惯性的,则这些广义的爱因斯坦方程式可简化为爱因斯坦方程式。因此,该理论也可以解释所有支持广义相对论的实验。该理论与广义相对论之间存在一些差异。

更新日期:2021-05-14
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