Derivation of generalized Einstein's equations of gravitation in some non-inertial reference frames based on the theory of vacuum mechanics
arXiv:2210.06342 · doi:10.1016/S0034-4877(21)00025-2
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.
arXiv comment14 pages, 0 figures, LATEX2e. arXiv admin note: text overlap with arXiv:1806.07724
References in corpus (12)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- The Confrontation between General Relativity and Experiment
- Atom-interferometry constraints on dark energy
- Photons that travel in free space slower than the speed of light
- The Energy-Momentum Tensor for the Gravitational Field
- Bounding the speed of gravity with gravitational wave observations
- Exacerbating the cosmological constant problem with interacting dark energy
- A possible general approach regarding the conformability of angular observables with mathematical rules of quantum mechanics
- Derivation of the Schrödinger equation based on a fluidic continuum model of vacuum and a sink model of particles
- General Relativity As an Aether Theory
- Derivation of generalized Einstein's equations of gravitation in inertial systems based on a sink flow model of particles