Derivation of generalized Einstein's equations of gravitation in inertial systems based on a sink flow model of particles
arXiv:1806.07724 · doi:10.1016/S0034-4877(19)30067-9
Abstract
J. C. Maxwell, B. Riemann and H. Poincar 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 coordinate systems, we construct a tensorial potential which satisfies the wave equations. Inspired by the equations 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 coordinate systems.
arXiv comment13 pages, 1 figure, Version 4.0 of REVTeX
References in corpus (8)
- Testing General Relativity with stellar orbits around the supermassive black hole in our Galactic center
- 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
- Modelling spatial variations of the speed of light
- Derivation of the Schrödinger equation based on a fluidic continuum model of vacuum and a sink model of particles
- Ether and Relativity
Cited by in corpus (3)
- Derivation of generalized Einstein's equations of gravitation in some non-inertial reference frames based on the theory of vacuum mechanics
- A theoretical calculation of the cosmological constant based on a mechanical model of vacuum
- The new concepts of ether and calculation of the cosmological constant