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Wang, X.-S. Derivation of Generalized Einstein’s Equations of Gravitation in Inertial Systems Based on a Sink Flow Model of Particles. Reports on Mathematical Physics, 2019, 84, 35–59. https://doi.org/10.1016/s0034-4877(19)30067-9.
Wang, X.-S. Derivation of Generalized Einstein’s Equations of Gravitation in Inertial Systems Based on a Sink Flow Model of Particles. Reports on Mathematical Physics, 2019, 84, 35–59. https://doi.org/10.1016/s0034-4877(19)30067-9.
Wang, X.-S. Derivation of Generalized Einstein’s Equations of Gravitation in Inertial Systems Based on a Sink Flow Model of Particles. Reports on Mathematical Physics, 2019, 84, 35–59. https://doi.org/10.1016/s0034-4877(19)30067-9.
Wang, X.-S. Derivation of Generalized Einstein’s Equations of Gravitation in Inertial Systems Based on a Sink Flow Model of Particles. Reports on Mathematical Physics, 2019, 84, 35–59. https://doi.org/10.1016/s0034-4877(19)30067-9.
Abstract
J. C. Maxwell, B. Riemann and H. Poincar$\acute{e}$ have proposed the idea that all microscopic particles are sink flows in a fluidic aether. Following this research program, a previous theory of gravitation based on a mechanical model of vacuum and a sink flow model of particles is generalized by methods of special relativistic continuum mechanics. In inertial reference frames, we construct a tensorial potential which satisfies the wave equation. Inspired by the equation of motion of a test particle, a definition of a metric tensor of a Riemannian spacetime is introduced. Applying Fock's theorem, generalized Einstein's equations in inertial systems are derived based on some assumptions. These equations reduce to Einstein's equations in case of weak field in harmonic reference frames. In some special non-inertial reference frames, generalized Einstein's equations are derived based on some assumptions. 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 explains all the experiments which support the theory of general relativity. There exists some differences between this theory and Einstein's theory of general relativity.
Keywords
Einstein's equations; gravitation; general relativity; sink; gravitational aether
Subject
Physical Sciences, Theoretical Physics
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.
Received:
8 October 2019
Commenter:
Xiao-Song Wang
Commenter's Conflict of Interests:
Author
Comment:
The following sections are added.
1. section:"Equivalence between the inertial mass and the gravitational mass";
2. section:"The dynamical gravitational potentials in inertial reference frames";
3. section:"Inertial potential and inertial force Lagrangian in non-inertial reference frames";
4. section:"Field equations in a special class of non-inertial reference frames";
Commenter: Xiao-Song Wang
Commenter's Conflict of Interests: Author
1. section:"Equivalence between the inertial mass and the gravitational mass";
2. section:"The dynamical gravitational potentials in inertial reference frames";
3. section:"Inertial potential and inertial force Lagrangian in non-inertial reference frames";
4. section:"Field equations in a special class of non-inertial reference frames";