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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
 
Creator Gladush, Valentin D.
Galadgyi, Marina V.
Галаджій, Марина Валентинівна
Гладуш, Валентин Данилович
Галаджий, Марина Валентиновна
 
Subject mass potential
motions classification
stability conditions
Scopus
скопус
 
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
 
Date 2015-06-05T11:27:39Z
2015-06-05T11:27:39Z
2011
 
Type Article
 
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
 
Language en
 
Publisher Springer US