Version 1
: Received: 5 February 2021 / Approved: 5 February 2021 / Online: 5 February 2021 (11:11:36 CET)
How to cite:
Wang, X. Derivation of Generalized Einstein's Equations of Gravitation in Some Non-Inertial Reference Frames Based on the Theory of Vacuum Mechanics. Preprints2021, 2021020157. https://doi.org/10.20944/preprints202102.0157.v1
Wang, X. Derivation of Generalized Einstein's Equations of Gravitation in Some Non-Inertial Reference Frames Based on the Theory of Vacuum Mechanics. Preprints 2021, 2021020157. https://doi.org/10.20944/preprints202102.0157.v1
Wang, X. Derivation of Generalized Einstein's Equations of Gravitation in Some Non-Inertial Reference Frames Based on the Theory of Vacuum Mechanics. Preprints2021, 2021020157. https://doi.org/10.20944/preprints202102.0157.v1
APA Style
Wang, X. (2021). Derivation of Generalized Einstein's Equations of Gravitation in Some Non-Inertial Reference Frames Based on the Theory of Vacuum Mechanics. Preprints. https://doi.org/10.20944/preprints202102.0157.v1
Chicago/Turabian Style
Wang, X. 2021 "Derivation of Generalized Einstein's Equations of Gravitation in Some Non-Inertial Reference Frames Based on the Theory of Vacuum Mechanics" Preprints. https://doi.org/10.20944/preprints202102.0157.v1
Abstract
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.
Keywords
Einstein's equations; gravitation; general relativity; principle of equivalence; gravitational aether; vacuum mechanics.
Subject
Physical Sciences, Acoustics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
