Том 71
№ 4

All Issues

Ivanchenko V. M.

Articles: 1
Article (Russian)

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

Ivanchenko V. M.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2004. - 56, № 1. - pp. 31-50

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.