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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Date
2011
Journal Title
Journal ISSN
Volume Title
Publisher
Springer US
Abstract
EN: 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.
Description
Keywords
mass potential, motions classification, stability conditions, Scopus, скопус, КФ
Citation
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.