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

  • V. M. Ivanchenko

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
IvanchenkoV. M. “Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 1, Jan. 2004, pp. 31-50, https://umj.imath.kiev.ua/index.php/umj/article/view/3726.
Section
Research articles