Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism

Abstract

We propose a system of differential equations in the tensor general-covariant form whose solutions are called gravitational and charged particles. For free fields, solutions are found in the form of Newton and Coulomb potentials.

For a particle that rotates with constant velocity around another particle with large mass, a solution is obtained in the form $\omega = k\sqrt {\frac{{m_2 }}{{R^3 }}}$ if the particle is uncharged, and in the form $\omega = k\sqrt {\frac{{\varepsilon _1 \varepsilon _2 }}{{m_1 R^3 }}}$ if it is charged.