English

Relativistic gravity fields and electromagnetic fields generated by flows of matter

Mathematical Physics 2009-10-06 v1 math.MP

Abstract

One of the highlight of this note is that the author presents the relativistic gravity field that Einstein was looking for. The field is a byproduct of the matter in motion. This field can include both the discrete and continuous components. In free space the waves produced in this field propagate with velocity of light. Another highlight is the proof of amended Feynman's formulas for electromagnetic potentials. This makes the formulas mathematically complete and precise. The main result can be stated as follows. In a fixed Lorentzian frame given is a trajectory r2(t,r0)r_2(t,r_0) of flow of matter. The parameter r0r_0 changes in a compact set FF representing the position of the matter at some initial time t0.t_0. The flow must satisfy certain conditions of regularity. Given any signed measure q(Q)q(Q) of finite variation defined on Borel subsets of F,F, representing total charge contained in the set QF,Q\subset F, such a flow determines the scalar ϕ\phi and the vector AA potentials for a pair (E,B)(E,B) of fields satisfying Maxwell's equations and as a byproduct the field ϱ,\varrho, representing density of charges, and the field j,j, representing the density of currents. All these fields are represented in terms of generalized functions.

Keywords

Cite

@article{arxiv.0910.0538,
  title  = {Relativistic gravity fields and electromagnetic fields generated by flows of matter},
  author = {Victor M. Bogdan},
  journal= {arXiv preprint arXiv:0910.0538},
  year   = {2009}
}

Comments

13 pages

R2 v1 2026-06-21T13:53:43.118Z