Some peculiarities of motion of neutral and charged test particles in the field of a spherically symmetric charged object in general relativity
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Title |
Some peculiarities of motion of neutral and charged test particles in the field of a spherically symmetric charged object in general relativity
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Creator |
Gladush, Valentin D.
Galadgyi, Marina V. Галаджій, Марина Валентинівна Гладуш, Валентин Данилович Галаджий, Марина Валентиновна |
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Subject |
mass potential
motions classification stability conditions Scopus скопус |
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Description |
Gladush, V. D. Some peculiarities of motion of neutral and charged test particles in the field of a spherically symmetric charged object in general relativity / Valentin D. Gladush, Marina V. Galadgyi // General Relativity and Gravitation. — 2011. — Vol. 43, іssue 5. — P. 1347-1363. — DOI: 10.1007/s10714-010-1119-9
EN: Abstract We propose the method of investigation of radial motions for charged and neutral test particles in the Reissner-Nordström field by means of mass potential. In this context we analyze special features of interaction of charges and their motions in General Relativity and construct the radial motion classification. For test particles and a central source with charges q and Q, respectively, the conditions of attraction (when qQ > 0) and repulsion (when qQ < 0) are obtained. The conditions of motionless test particle states with respect to the central source are investigated and, in addition, stability conditions for such static equilibrium states are found. It is shown that stable states are possible only for the bound states of weakly charged particles in the field of a naked singularity. Frequencies of small oscillations of test particles near their equilibrium positions are also found. © 2011 Springer Science+Business Media, LLC Дніпропетровський національний університет ім. О. Гончара |
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Date |
2015-06-05T11:27:39Z
2015-06-05T11:27:39Z 2011 |
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Type |
Article
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Identifier |
0001-7701 Print
1572-9532 Online DOI 10.1007/s10714-010-1119-9 http://arxiv.org/pdf/1011.0843.pdf http://eadnurt.diit.edu.ua/jspui/handle/123456789/3828 |
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Language |
en
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Publisher |
Springer US
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