Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism
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 part...
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| Date: | 2004 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2004
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3726 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | 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. |
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