TY - JOUR
AU - V. M. Ivanchenko
PY - 2004/01/25
Y2 - 2024/06/21
TI - Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 56
IS - 1
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3726
AB - 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.
ER -