# 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.

Published

25.01.2004

How to Cite

*Ukrains’kyi Matematychnyi Zhurnal*, Vol. 56, no. 1, Jan. 2004, pp. 31-50, https://umj.imath.kiev.ua/index.php/umj/article/view/3726.

Issue

Section

Research articles